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Finding the Third Proportional to 541,202 and 1,174,630

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Solution

The third proportional to 541,202 and 1,174,630 is: 2,549,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,202 : 1,174,630 = 1,174,630 : x
  2. Step 2: Convert to fraction form
    541,202/1,174,630 = 1,174,630/x
  3. Step 3: Cross multiply
    541,202x = 1,174,630 × 1,174,630
  4. Step 4: Simplify right side
    541,202x = 1,379,755,636,900
  5. Step 5: Solve for x
    x = 1,379,755,636,900/541,202
  6. Step 6: Final answer
    x = 2,549,428.19

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