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Finding the Third Proportional to 1,023,793.38 and 2,227,649.77

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Solution

The third proportional to 1,023,793.38 and 2,227,649.77 is: 4,847,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,793.38 : 2,227,649.77 = 2,227,649.77 : x
  2. Step 2: Convert to fraction form
    1,023,793.38/2,227,649.77 = 2,227,649.77/x
  3. Step 3: Cross multiply
    1,023,793.38x = 2,227,649.77 × 2,227,649.77
  4. Step 4: Simplify right side
    1,023,793.38x = 4,962,423,478,289.12
  5. Step 5: Solve for x
    x = 4,962,423,478,289.12/1,023,793.38
  6. Step 6: Final answer
    x = 4,847,094.70

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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.