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Finding the Third Proportional to 745,241 and 1,616,508

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Solution

The third proportional to 745,241 and 1,616,508 is: 3,506,379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,241 : 1,616,508 = 1,616,508 : x
  2. Step 2: Convert to fraction form
    745,241/1,616,508 = 1,616,508/x
  3. Step 3: Cross multiply
    745,241x = 1,616,508 × 1,616,508
  4. Step 4: Simplify right side
    745,241x = 2,613,098,114,064
  5. Step 5: Solve for x
    x = 2,613,098,114,064/745,241
  6. Step 6: Final answer
    x = 3,506,379.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.