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Finding the Third Proportional to 762,101 and 1,114,542

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Solution

The third proportional to 762,101 and 1,114,542 is: 1,629,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,101 : 1,114,542 = 1,114,542 : x
  2. Step 2: Convert to fraction form
    762,101/1,114,542 = 1,114,542/x
  3. Step 3: Cross multiply
    762,101x = 1,114,542 × 1,114,542
  4. Step 4: Simplify right side
    762,101x = 1,242,203,869,764
  5. Step 5: Solve for x
    x = 1,242,203,869,764/762,101
  6. Step 6: Final answer
    x = 1,629,972.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.