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Finding the Third Proportional to 1,591,713.49 and 3,435,615.42

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Solution

The third proportional to 1,591,713.49 and 3,435,615.42 is: 7,415,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,713.49 : 3,435,615.42 = 3,435,615.42 : x
  2. Step 2: Convert to fraction form
    1,591,713.49/3,435,615.42 = 3,435,615.42/x
  3. Step 3: Cross multiply
    1,591,713.49x = 3,435,615.42 × 3,435,615.42
  4. Step 4: Simplify right side
    1,591,713.49x = 11,803,453,327,025.33
  5. Step 5: Solve for x
    x = 11,803,453,327,025.33/1,591,713.49
  6. Step 6: Final answer
    x = 7,415,564.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.