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Finding the Third Proportional to 508,955.91 and 1,059,778.69

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Solution

The third proportional to 508,955.91 and 1,059,778.69 is: 2,206,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,955.91 : 1,059,778.69 = 1,059,778.69 : x
  2. Step 2: Convert to fraction form
    508,955.91/1,059,778.69 = 1,059,778.69/x
  3. Step 3: Cross multiply
    508,955.91x = 1,059,778.69 × 1,059,778.69
  4. Step 4: Simplify right side
    508,955.91x = 1,123,130,866,479.22
  5. Step 5: Solve for x
    x = 1,123,130,866,479.22/508,955.91
  6. Step 6: Final answer
    x = 2,206,735.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.