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Finding the Third Proportional to 2,107,350.75 and 4,569,000.75

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Solution

The third proportional to 2,107,350.75 and 4,569,000.75 is: 9,906,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,350.75 : 4,569,000.75 = 4,569,000.75 : x
  2. Step 2: Convert to fraction form
    2,107,350.75/4,569,000.75 = 4,569,000.75/x
  3. Step 3: Cross multiply
    2,107,350.75x = 4,569,000.75 × 4,569,000.75
  4. Step 4: Simplify right side
    2,107,350.75x = 20,875,767,853,500.56
  5. Step 5: Solve for x
    x = 20,875,767,853,500.56/2,107,350.75
  6. Step 6: Final answer
    x = 9,906,166.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.