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Finding the Third Proportional to 4,077,150.75 and 5,714,839.13

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Solution

The third proportional to 4,077,150.75 and 5,714,839.13 is: 8,010,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,150.75 : 5,714,839.13 = 5,714,839.13 : x
  2. Step 2: Convert to fraction form
    4,077,150.75/5,714,839.13 = 5,714,839.13/x
  3. Step 3: Cross multiply
    4,077,150.75x = 5,714,839.13 × 5,714,839.13
  4. Step 4: Simplify right side
    4,077,150.75x = 32,659,386,224,630.77
  5. Step 5: Solve for x
    x = 32,659,386,224,630.77/4,077,150.75
  6. Step 6: Final answer
    x = 8,010,345.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.