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Finding the Third Proportional to 748,464 and 1,172,769

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Solution

The third proportional to 748,464 and 1,172,769 is: 1,837,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,464 : 1,172,769 = 1,172,769 : x
  2. Step 2: Convert to fraction form
    748,464/1,172,769 = 1,172,769/x
  3. Step 3: Cross multiply
    748,464x = 1,172,769 × 1,172,769
  4. Step 4: Simplify right side
    748,464x = 1,375,387,127,361
  5. Step 5: Solve for x
    x = 1,375,387,127,361/748,464
  6. Step 6: Final answer
    x = 1,837,612.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.