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Finding the Third Proportional to 705,838,615 and 1,067,835,950

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Solution

The third proportional to 705,838,615 and 1,067,835,950 is: 1,615,487,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,838,615 : 1,067,835,950 = 1,067,835,950 : x
  2. Step 2: Convert to fraction form
    705,838,615/1,067,835,950 = 1,067,835,950/x
  3. Step 3: Cross multiply
    705,838,615x = 1,067,835,950 × 1,067,835,950
  4. Step 4: Simplify right side
    705,838,615x = 1,140,273,616,112,402,560
  5. Step 5: Solve for x
    x = 1,140,273,616,112,402,560/705,838,615
  6. Step 6: Final answer
    x = 1,615,487,721.81

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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.