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Finding the Third Proportional to 705,838,609.83 and 1,067,835,942.28

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Solution

The third proportional to 705,838,609.83 and 1,067,835,942.28 is: 1,615,487,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,838,609.83 : 1,067,835,942.28 = 1,067,835,942.28 : x
  2. Step 2: Convert to fraction form
    705,838,609.83/1,067,835,942.28 = 1,067,835,942.28/x
  3. Step 3: Cross multiply
    705,838,609.83x = 1,067,835,942.28 × 1,067,835,942.28
  4. Step 4: Simplify right side
    705,838,609.83x = 1,140,273,599,627,578,368
  5. Step 5: Solve for x
    x = 1,140,273,599,627,578,368/705,838,609.83
  6. Step 6: Final answer
    x = 1,615,487,710.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.