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Finding the Third Proportional to 721,294 and 1,122,766

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Solution

The third proportional to 721,294 and 1,122,766 is: 1,747,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,294 : 1,122,766 = 1,122,766 : x
  2. Step 2: Convert to fraction form
    721,294/1,122,766 = 1,122,766/x
  3. Step 3: Cross multiply
    721,294x = 1,122,766 × 1,122,766
  4. Step 4: Simplify right side
    721,294x = 1,260,603,490,756
  5. Step 5: Solve for x
    x = 1,260,603,490,756/721,294
  6. Step 6: Final answer
    x = 1,747,697.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.