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Finding the Third Proportional to 401,632 and 869,386

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Solution

The third proportional to 401,632 and 869,386 is: 1,881,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,632 : 869,386 = 869,386 : x
  2. Step 2: Convert to fraction form
    401,632/869,386 = 869,386/x
  3. Step 3: Cross multiply
    401,632x = 869,386 × 869,386
  4. Step 4: Simplify right side
    401,632x = 755,832,016,996
  5. Step 5: Solve for x
    x = 755,832,016,996/401,632
  6. Step 6: Final answer
    x = 1,881,901.88

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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.