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Finding the Third Proportional to 402,408 and 878,536.13

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Solution

The third proportional to 402,408 and 878,536.13 is: 1,918,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408 : 878,536.13 = 878,536.13 : x
  2. Step 2: Convert to fraction form
    402,408/878,536.13 = 878,536.13/x
  3. Step 3: Cross multiply
    402,408x = 878,536.13 × 878,536.13
  4. Step 4: Simplify right side
    402,408x = 771,825,722,930.02
  5. Step 5: Solve for x
    x = 771,825,722,930.02/402,408
  6. Step 6: Final answer
    x = 1,918,017.84

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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.