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Finding the Third Proportional to 709,866 and 1,539,504

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Solution

The third proportional to 709,866 and 1,539,504 is: 3,338,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,866 : 1,539,504 = 1,539,504 : x
  2. Step 2: Convert to fraction form
    709,866/1,539,504 = 1,539,504/x
  3. Step 3: Cross multiply
    709,866x = 1,539,504 × 1,539,504
  4. Step 4: Simplify right side
    709,866x = 2,370,072,566,016
  5. Step 5: Solve for x
    x = 2,370,072,566,016/709,866
  6. Step 6: Final answer
    x = 3,338,760.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.