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Finding the Third Proportional to 486,549 and 1,045,065

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Solution

The third proportional to 486,549 and 1,045,065 is: 2,244,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,549 : 1,045,065 = 1,045,065 : x
  2. Step 2: Convert to fraction form
    486,549/1,045,065 = 1,045,065/x
  3. Step 3: Cross multiply
    486,549x = 1,045,065 × 1,045,065
  4. Step 4: Simplify right side
    486,549x = 1,092,160,854,225
  5. Step 5: Solve for x
    x = 1,092,160,854,225/486,549
  6. Step 6: Final answer
    x = 2,244,708.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.