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Finding the Third Proportional to 652,944 and 924,741

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Solution

The third proportional to 652,944 and 924,741 is: 1,309,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,944 : 924,741 = 924,741 : x
  2. Step 2: Convert to fraction form
    652,944/924,741 = 924,741/x
  3. Step 3: Cross multiply
    652,944x = 924,741 × 924,741
  4. Step 4: Simplify right side
    652,944x = 855,145,917,081
  5. Step 5: Solve for x
    x = 855,145,917,081/652,944
  6. Step 6: Final answer
    x = 1,309,677.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.