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Finding the Third Proportional to 1,356,972.75 and 1,842,901.88

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Solution

The third proportional to 1,356,972.75 and 1,842,901.88 is: 2,502,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,972.75 : 1,842,901.88 = 1,842,901.88 : x
  2. Step 2: Convert to fraction form
    1,356,972.75/1,842,901.88 = 1,842,901.88/x
  3. Step 3: Cross multiply
    1,356,972.75x = 1,842,901.88 × 1,842,901.88
  4. Step 4: Simplify right side
    1,356,972.75x = 3,396,287,320,878.52
  5. Step 5: Solve for x
    x = 3,396,287,320,878.52/1,356,972.75
  6. Step 6: Final answer
    x = 2,502,841.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.