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Finding the Third Proportional to 478,107 and 1,043,147

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Solution

The third proportional to 478,107 and 1,043,147 is: 2,275,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,107 : 1,043,147 = 1,043,147 : x
  2. Step 2: Convert to fraction form
    478,107/1,043,147 = 1,043,147/x
  3. Step 3: Cross multiply
    478,107x = 1,043,147 × 1,043,147
  4. Step 4: Simplify right side
    478,107x = 1,088,155,663,609
  5. Step 5: Solve for x
    x = 1,088,155,663,609/478,107
  6. Step 6: Final answer
    x = 2,275,966.81

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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.