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Finding the Third Proportional to 709,888 and 1,539,550

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Solution

The third proportional to 709,888 and 1,539,550 is: 3,338,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,888 : 1,539,550 = 1,539,550 : x
  2. Step 2: Convert to fraction form
    709,888/1,539,550 = 1,539,550/x
  3. Step 3: Cross multiply
    709,888x = 1,539,550 × 1,539,550
  4. Step 4: Simplify right side
    709,888x = 2,370,214,202,500
  5. Step 5: Solve for x
    x = 2,370,214,202,500/709,888
  6. Step 6: Final answer
    x = 3,338,856.56

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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.