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Finding the Third Proportional to 748,567 and 1,150,613

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Solution

The third proportional to 748,567 and 1,150,613 is: 1,768,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,567 : 1,150,613 = 1,150,613 : x
  2. Step 2: Convert to fraction form
    748,567/1,150,613 = 1,150,613/x
  3. Step 3: Cross multiply
    748,567x = 1,150,613 × 1,150,613
  4. Step 4: Simplify right side
    748,567x = 1,323,910,275,769
  5. Step 5: Solve for x
    x = 1,323,910,275,769/748,567
  6. Step 6: Final answer
    x = 1,768,592.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.