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Finding the Third Proportional to 3,714,538.34 and 5,132,649.80

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Solution

The third proportional to 3,714,538.34 and 5,132,649.80 is: 7,092,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714,538.34 : 5,132,649.80 = 5,132,649.80 : x
  2. Step 2: Convert to fraction form
    3,714,538.34/5,132,649.80 = 5,132,649.80/x
  3. Step 3: Cross multiply
    3,714,538.34x = 5,132,649.80 × 5,132,649.80
  4. Step 4: Simplify right side
    3,714,538.34x = 26,344,093,937,360.98
  5. Step 5: Solve for x
    x = 26,344,093,937,360.98/3,714,538.34
  6. Step 6: Final answer
    x = 7,092,158.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.