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Finding the Third Proportional to 801,034.31 and 1,201,710.94

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Solution

The third proportional to 801,034.31 and 1,201,710.94 is: 1,802,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,034.31 : 1,201,710.94 = 1,201,710.94 : x
  2. Step 2: Convert to fraction form
    801,034.31/1,201,710.94 = 1,201,710.94/x
  3. Step 3: Cross multiply
    801,034.31x = 1,201,710.94 × 1,201,710.94
  4. Step 4: Simplify right side
    801,034.31x = 1,444,109,177,307.13
  5. Step 5: Solve for x
    x = 1,444,109,177,307.13/801,034.31
  6. Step 6: Final answer
    x = 1,802,805.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.