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Finding the Third Proportional to 914,528 and 1,233,651

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Solution

The third proportional to 914,528 and 1,233,651 is: 1,664,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,528 : 1,233,651 = 1,233,651 : x
  2. Step 2: Convert to fraction form
    914,528/1,233,651 = 1,233,651/x
  3. Step 3: Cross multiply
    914,528x = 1,233,651 × 1,233,651
  4. Step 4: Simplify right side
    914,528x = 1,521,894,789,801
  5. Step 5: Solve for x
    x = 1,521,894,789,801/914,528
  6. Step 6: Final answer
    x = 1,664,131.43

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.