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Finding the Third Proportional to 401,135.06 and 881,002.13

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Solution

The third proportional to 401,135.06 and 881,002.13 is: 1,934,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,135.06 : 881,002.13 = 881,002.13 : x
  2. Step 2: Convert to fraction form
    401,135.06/881,002.13 = 881,002.13/x
  3. Step 3: Cross multiply
    401,135.06x = 881,002.13 × 881,002.13
  4. Step 4: Simplify right side
    401,135.06x = 776,164,744,254.52
  5. Step 5: Solve for x
    x = 776,164,744,254.52/401,135.06
  6. Step 6: Final answer
    x = 1,934,921.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.