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Finding the Third Proportional to 971,500.50 and 1,457,358.75

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Solution

The third proportional to 971,500.50 and 1,457,358.75 is: 2,186,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,500.50 : 1,457,358.75 = 1,457,358.75 : x
  2. Step 2: Convert to fraction form
    971,500.50/1,457,358.75 = 1,457,358.75/x
  3. Step 3: Cross multiply
    971,500.50x = 1,457,358.75 × 1,457,358.75
  4. Step 4: Simplify right side
    971,500.50x = 2,123,894,526,201.56
  5. Step 5: Solve for x
    x = 2,123,894,526,201.56/971,500.50
  6. Step 6: Final answer
    x = 2,186,200.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.