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Finding the Third Proportional to 709,870 and 1,539,514

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Solution

The third proportional to 709,870 and 1,539,514 is: 3,338,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,870 : 1,539,514 = 1,539,514 : x
  2. Step 2: Convert to fraction form
    709,870/1,539,514 = 1,539,514/x
  3. Step 3: Cross multiply
    709,870x = 1,539,514 × 1,539,514
  4. Step 4: Simplify right side
    709,870x = 2,370,103,356,196
  5. Step 5: Solve for x
    x = 2,370,103,356,196/709,870
  6. Step 6: Final answer
    x = 3,338,785.07

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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.