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Finding the Third Proportional to 974,308.50 and 2,125,217.25

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Solution

The third proportional to 974,308.50 and 2,125,217.25 is: 4,635,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,308.50 : 2,125,217.25 = 2,125,217.25 : x
  2. Step 2: Convert to fraction form
    974,308.50/2,125,217.25 = 2,125,217.25/x
  3. Step 3: Cross multiply
    974,308.50x = 2,125,217.25 × 2,125,217.25
  4. Step 4: Simplify right side
    974,308.50x = 4,516,548,359,697.56
  5. Step 5: Solve for x
    x = 4,516,548,359,697.56/974,308.50
  6. Step 6: Final answer
    x = 4,635,645.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.