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Finding the Third Proportional to 680,491.13 and 1,485,637.88

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Solution

The third proportional to 680,491.13 and 1,485,637.88 is: 3,243,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,491.13 : 1,485,637.88 = 1,485,637.88 : x
  2. Step 2: Convert to fraction form
    680,491.13/1,485,637.88 = 1,485,637.88/x
  3. Step 3: Cross multiply
    680,491.13x = 1,485,637.88 × 1,485,637.88
  4. Step 4: Simplify right side
    680,491.13x = 2,207,119,895,634.52
  5. Step 5: Solve for x
    x = 2,207,119,895,634.52/680,491.13
  6. Step 6: Final answer
    x = 3,243,422.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.