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Finding the Third Proportional to 2,648,335.50 and 3,748,422

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Solution

The third proportional to 2,648,335.50 and 3,748,422 is: 5,305,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,335.50 : 3,748,422 = 3,748,422 : x
  2. Step 2: Convert to fraction form
    2,648,335.50/3,748,422 = 3,748,422/x
  3. Step 3: Cross multiply
    2,648,335.50x = 3,748,422 × 3,748,422
  4. Step 4: Simplify right side
    2,648,335.50x = 14,050,667,490,084
  5. Step 5: Solve for x
    x = 14,050,667,490,084/2,648,335.50
  6. Step 6: Final answer
    x = 5,305,471.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.