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Finding the Third Proportional to 681,301.13 and 1,478,509.88

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Solution

The third proportional to 681,301.13 and 1,478,509.88 is: 3,208,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,301.13 : 1,478,509.88 = 1,478,509.88 : x
  2. Step 2: Convert to fraction form
    681,301.13/1,478,509.88 = 1,478,509.88/x
  3. Step 3: Cross multiply
    681,301.13x = 1,478,509.88 × 1,478,509.88
  4. Step 4: Simplify right side
    681,301.13x = 2,185,991,450,472.52
  5. Step 5: Solve for x
    x = 2,185,991,450,472.52/681,301.13
  6. Step 6: Final answer
    x = 3,208,554.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.