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Finding the Third Proportional to 761,121 and 1,672,902

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Solution

The third proportional to 761,121 and 1,672,902 is: 3,676,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,121 : 1,672,902 = 1,672,902 : x
  2. Step 2: Convert to fraction form
    761,121/1,672,902 = 1,672,902/x
  3. Step 3: Cross multiply
    761,121x = 1,672,902 × 1,672,902
  4. Step 4: Simplify right side
    761,121x = 2,798,601,101,604
  5. Step 5: Solve for x
    x = 2,798,601,101,604/761,121
  6. Step 6: Final answer
    x = 3,676,946.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.