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Finding the Third Proportional to 745,872 and 1,609,680

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Solution

The third proportional to 745,872 and 1,609,680 is: 3,473,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,872 : 1,609,680 = 1,609,680 : x
  2. Step 2: Convert to fraction form
    745,872/1,609,680 = 1,609,680/x
  3. Step 3: Cross multiply
    745,872x = 1,609,680 × 1,609,680
  4. Step 4: Simplify right side
    745,872x = 2,591,069,702,400
  5. Step 5: Solve for x
    x = 2,591,069,702,400/745,872
  6. Step 6: Final answer
    x = 3,473,879.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.