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Finding the Third Proportional to 412,893 and 875,403

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Solution

The third proportional to 412,893 and 875,403 is: 1,856,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,893 : 875,403 = 875,403 : x
  2. Step 2: Convert to fraction form
    412,893/875,403 = 875,403/x
  3. Step 3: Cross multiply
    412,893x = 875,403 × 875,403
  4. Step 4: Simplify right side
    412,893x = 766,330,412,409
  5. Step 5: Solve for x
    x = 766,330,412,409/412,893
  6. Step 6: Final answer
    x = 1,856,002.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.