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Finding the Third Proportional to 774,929 and 1,707,079

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Solution

The third proportional to 774,929 and 1,707,079 is: 3,760,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,929 : 1,707,079 = 1,707,079 : x
  2. Step 2: Convert to fraction form
    774,929/1,707,079 = 1,707,079/x
  3. Step 3: Cross multiply
    774,929x = 1,707,079 × 1,707,079
  4. Step 4: Simplify right side
    774,929x = 2,914,118,712,241
  5. Step 5: Solve for x
    x = 2,914,118,712,241/774,929
  6. Step 6: Final answer
    x = 3,760,497.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.