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Finding the Third Proportional to 722,031 and 1,546,532

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Solution

The third proportional to 722,031 and 1,546,532 is: 3,312,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,031 : 1,546,532 = 1,546,532 : x
  2. Step 2: Convert to fraction form
    722,031/1,546,532 = 1,546,532/x
  3. Step 3: Cross multiply
    722,031x = 1,546,532 × 1,546,532
  4. Step 4: Simplify right side
    722,031x = 2,391,761,227,024
  5. Step 5: Solve for x
    x = 2,391,761,227,024/722,031
  6. Step 6: Final answer
    x = 3,312,546.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.