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Finding the Third Proportional to 3,071,648.25 and 4,135,050

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Solution

The third proportional to 3,071,648.25 and 4,135,050 is: 5,566,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071,648.25 : 4,135,050 = 4,135,050 : x
  2. Step 2: Convert to fraction form
    3,071,648.25/4,135,050 = 4,135,050/x
  3. Step 3: Cross multiply
    3,071,648.25x = 4,135,050 × 4,135,050
  4. Step 4: Simplify right side
    3,071,648.25x = 17,098,638,502,500
  5. Step 5: Solve for x
    x = 17,098,638,502,500/3,071,648.25
  6. Step 6: Final answer
    x = 5,566,600.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.