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Finding the Third Proportional to 709,893 and 1,539,561

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Solution

The third proportional to 709,893 and 1,539,561 is: 3,338,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,893 : 1,539,561 = 1,539,561 : x
  2. Step 2: Convert to fraction form
    709,893/1,539,561 = 1,539,561/x
  3. Step 3: Cross multiply
    709,893x = 1,539,561 × 1,539,561
  4. Step 4: Simplify right side
    709,893x = 2,370,248,072,721
  5. Step 5: Solve for x
    x = 2,370,248,072,721/709,893
  6. Step 6: Final answer
    x = 3,338,880.75

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