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Finding the Third Proportional to 709,874 and 1,539,519

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Solution

The third proportional to 709,874 and 1,539,519 is: 3,338,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,874 : 1,539,519 = 1,539,519 : x
  2. Step 2: Convert to fraction form
    709,874/1,539,519 = 1,539,519/x
  3. Step 3: Cross multiply
    709,874x = 1,539,519 × 1,539,519
  4. Step 4: Simplify right side
    709,874x = 2,370,118,751,361
  5. Step 5: Solve for x
    x = 2,370,118,751,361/709,874
  6. Step 6: Final answer
    x = 3,338,787.94

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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.