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Finding the Third Proportional to 765,087.19 and 1,603,627.03

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Solution

The third proportional to 765,087.19 and 1,603,627.03 is: 3,361,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,087.19 : 1,603,627.03 = 1,603,627.03 : x
  2. Step 2: Convert to fraction form
    765,087.19/1,603,627.03 = 1,603,627.03/x
  3. Step 3: Cross multiply
    765,087.19x = 1,603,627.03 × 1,603,627.03
  4. Step 4: Simplify right side
    765,087.19x = 2,571,619,655,355.69
  5. Step 5: Solve for x
    x = 2,571,619,655,355.69/765,087.19
  6. Step 6: Final answer
    x = 3,361,211.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.