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Finding the Third Proportional to 3,672,570.38 and 5,705,903.25

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Solution

The third proportional to 3,672,570.38 and 5,705,903.25 is: 8,864,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672,570.38 : 5,705,903.25 = 5,705,903.25 : x
  2. Step 2: Convert to fraction form
    3,672,570.38/5,705,903.25 = 5,705,903.25/x
  3. Step 3: Cross multiply
    3,672,570.38x = 5,705,903.25 × 5,705,903.25
  4. Step 4: Simplify right side
    3,672,570.38x = 32,557,331,898,360.56
  5. Step 5: Solve for x
    x = 32,557,331,898,360.56/3,672,570.38
  6. Step 6: Final answer
    x = 8,864,998.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.