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Finding the Third Proportional to 754,683 and 1,025,463

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Solution

The third proportional to 754,683 and 1,025,463 is: 1,393,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,683 : 1,025,463 = 1,025,463 : x
  2. Step 2: Convert to fraction form
    754,683/1,025,463 = 1,025,463/x
  3. Step 3: Cross multiply
    754,683x = 1,025,463 × 1,025,463
  4. Step 4: Simplify right side
    754,683x = 1,051,574,364,369
  5. Step 5: Solve for x
    x = 1,051,574,364,369/754,683
  6. Step 6: Final answer
    x = 1,393,398.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.