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Finding the Third Proportional to 401,122.13 and 880,966.13

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Solution

The third proportional to 401,122.13 and 880,966.13 is: 1,934,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,122.13 : 880,966.13 = 880,966.13 : x
  2. Step 2: Convert to fraction form
    401,122.13/880,966.13 = 880,966.13/x
  3. Step 3: Cross multiply
    401,122.13x = 880,966.13 × 880,966.13
  4. Step 4: Simplify right side
    401,122.13x = 776,101,313,397.52
  5. Step 5: Solve for x
    x = 776,101,313,397.52/401,122.13
  6. Step 6: Final answer
    x = 1,934,825.49

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