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Finding the Third Proportional to 729,664 and 1,165,619

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Solution

The third proportional to 729,664 and 1,165,619 is: 1,862,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,664 : 1,165,619 = 1,165,619 : x
  2. Step 2: Convert to fraction form
    729,664/1,165,619 = 1,165,619/x
  3. Step 3: Cross multiply
    729,664x = 1,165,619 × 1,165,619
  4. Step 4: Simplify right side
    729,664x = 1,358,667,653,161
  5. Step 5: Solve for x
    x = 1,358,667,653,161/729,664
  6. Step 6: Final answer
    x = 1,862,045.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.