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Finding the Third Proportional to 1,205,892.56 and 2,648,057.06

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Solution

The third proportional to 1,205,892.56 and 2,648,057.06 is: 5,814,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,892.56 : 2,648,057.06 = 2,648,057.06 : x
  2. Step 2: Convert to fraction form
    1,205,892.56/2,648,057.06 = 2,648,057.06/x
  3. Step 3: Cross multiply
    1,205,892.56x = 2,648,057.06 × 2,648,057.06
  4. Step 4: Simplify right side
    1,205,892.56x = 7,012,206,206,256.13
  5. Step 5: Solve for x
    x = 7,012,206,206,256.13/1,205,892.56
  6. Step 6: Final answer
    x = 5,814,951.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.