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Finding the Third Proportional to 747,747 and 1,130,539.50

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Solution

The third proportional to 747,747 and 1,130,539.50 is: 1,709,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,747 : 1,130,539.50 = 1,130,539.50 : x
  2. Step 2: Convert to fraction form
    747,747/1,130,539.50 = 1,130,539.50/x
  3. Step 3: Cross multiply
    747,747x = 1,130,539.50 × 1,130,539.50
  4. Step 4: Simplify right side
    747,747x = 1,278,119,561,060.25
  5. Step 5: Solve for x
    x = 1,278,119,561,060.25/747,747
  6. Step 6: Final answer
    x = 1,709,294.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.