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Finding the Third Proportional to 961,478 and 1,494,663

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Solution

The third proportional to 961,478 and 1,494,663 is: 2,323,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,478 : 1,494,663 = 1,494,663 : x
  2. Step 2: Convert to fraction form
    961,478/1,494,663 = 1,494,663/x
  3. Step 3: Cross multiply
    961,478x = 1,494,663 × 1,494,663
  4. Step 4: Simplify right side
    961,478x = 2,234,017,483,569
  5. Step 5: Solve for x
    x = 2,234,017,483,569/961,478
  6. Step 6: Final answer
    x = 2,323,524.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.