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Finding the Third Proportional to 731,109 and 1,603,452

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Solution

The third proportional to 731,109 and 1,603,452 is: 3,516,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,109 : 1,603,452 = 1,603,452 : x
  2. Step 2: Convert to fraction form
    731,109/1,603,452 = 1,603,452/x
  3. Step 3: Cross multiply
    731,109x = 1,603,452 × 1,603,452
  4. Step 4: Simplify right side
    731,109x = 2,571,058,316,304
  5. Step 5: Solve for x
    x = 2,571,058,316,304/731,109
  6. Step 6: Final answer
    x = 3,516,655.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.