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Finding the Third Proportional to 497,010.94 and 1,053,177.19

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Solution

The third proportional to 497,010.94 and 1,053,177.19 is: 2,231,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,010.94 : 1,053,177.19 = 1,053,177.19 : x
  2. Step 2: Convert to fraction form
    497,010.94/1,053,177.19 = 1,053,177.19/x
  3. Step 3: Cross multiply
    497,010.94x = 1,053,177.19 × 1,053,177.19
  4. Step 4: Simplify right side
    497,010.94x = 1,109,182,188,270.41
  5. Step 5: Solve for x
    x = 1,109,182,188,270.41/497,010.94
  6. Step 6: Final answer
    x = 2,231,705.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.