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Finding the Third Proportional to 403,593 and 878,124

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Solution

The third proportional to 403,593 and 878,124 is: 1,910,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,593 : 878,124 = 878,124 : x
  2. Step 2: Convert to fraction form
    403,593/878,124 = 878,124/x
  3. Step 3: Cross multiply
    403,593x = 878,124 × 878,124
  4. Step 4: Simplify right side
    403,593x = 771,101,759,376
  5. Step 5: Solve for x
    x = 771,101,759,376/403,593
  6. Step 6: Final answer
    x = 1,910,592.50

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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.