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Finding the Third Proportional to 2,037,013.31 and 3,055,763.06

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Solution

The third proportional to 2,037,013.31 and 3,055,763.06 is: 4,584,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,013.31 : 3,055,763.06 = 3,055,763.06 : x
  2. Step 2: Convert to fraction form
    2,037,013.31/3,055,763.06 = 3,055,763.06/x
  3. Step 3: Cross multiply
    2,037,013.31x = 3,055,763.06 × 3,055,763.06
  4. Step 4: Simplify right side
    2,037,013.31x = 9,337,687,894,139.38
  5. Step 5: Solve for x
    x = 9,337,687,894,139.38/2,037,013.31
  6. Step 6: Final answer
    x = 4,584,009.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.