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Finding the Third Proportional to 727,040 and 1,103,624

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Solution

The third proportional to 727,040 and 1,103,624 is: 1,675,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,040 : 1,103,624 = 1,103,624 : x
  2. Step 2: Convert to fraction form
    727,040/1,103,624 = 1,103,624/x
  3. Step 3: Cross multiply
    727,040x = 1,103,624 × 1,103,624
  4. Step 4: Simplify right side
    727,040x = 1,217,985,933,376
  5. Step 5: Solve for x
    x = 1,217,985,933,376/727,040
  6. Step 6: Final answer
    x = 1,675,266.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.