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Finding the Third Proportional to 1,024,500 and 1,503,534

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Solution

The third proportional to 1,024,500 and 1,503,534 is: 2,206,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,500 : 1,503,534 = 1,503,534 : x
  2. Step 2: Convert to fraction form
    1,024,500/1,503,534 = 1,503,534/x
  3. Step 3: Cross multiply
    1,024,500x = 1,503,534 × 1,503,534
  4. Step 4: Simplify right side
    1,024,500x = 2,260,614,489,156
  5. Step 5: Solve for x
    x = 2,260,614,489,156/1,024,500
  6. Step 6: Final answer
    x = 2,206,553.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.