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Finding the Third Proportional to 2,000,478.75 and 4,380,402

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Solution

The third proportional to 2,000,478.75 and 4,380,402 is: 9,591,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,478.75 : 4,380,402 = 4,380,402 : x
  2. Step 2: Convert to fraction form
    2,000,478.75/4,380,402 = 4,380,402/x
  3. Step 3: Cross multiply
    2,000,478.75x = 4,380,402 × 4,380,402
  4. Step 4: Simplify right side
    2,000,478.75x = 19,187,921,681,604
  5. Step 5: Solve for x
    x = 19,187,921,681,604/2,000,478.75
  6. Step 6: Final answer
    x = 9,591,664.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.