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Finding the Third Proportional to 401,644 and 869,408

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Solution

The third proportional to 401,644 and 869,408 is: 1,881,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,644 : 869,408 = 869,408 : x
  2. Step 2: Convert to fraction form
    401,644/869,408 = 869,408/x
  3. Step 3: Cross multiply
    401,644x = 869,408 × 869,408
  4. Step 4: Simplify right side
    401,644x = 755,870,270,464
  5. Step 5: Solve for x
    x = 755,870,270,464/401,644
  6. Step 6: Final answer
    x = 1,881,940.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.