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Finding the Third Proportional to 745,376 and 1,609,120

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Solution

The third proportional to 745,376 and 1,609,120 is: 3,473,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,376 : 1,609,120 = 1,609,120 : x
  2. Step 2: Convert to fraction form
    745,376/1,609,120 = 1,609,120/x
  3. Step 3: Cross multiply
    745,376x = 1,609,120 × 1,609,120
  4. Step 4: Simplify right side
    745,376x = 2,589,267,174,400
  5. Step 5: Solve for x
    x = 2,589,267,174,400/745,376
  6. Step 6: Final answer
    x = 3,473,773.20

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Why These Related Problems?

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