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Finding the Third Proportional to 575,187.75 and 1,251,380.81

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Solution

The third proportional to 575,187.75 and 1,251,380.81 is: 2,722,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,187.75 : 1,251,380.81 = 1,251,380.81 : x
  2. Step 2: Convert to fraction form
    575,187.75/1,251,380.81 = 1,251,380.81/x
  3. Step 3: Cross multiply
    575,187.75x = 1,251,380.81 × 1,251,380.81
  4. Step 4: Simplify right side
    575,187.75x = 1,565,953,937,893.16
  5. Step 5: Solve for x
    x = 1,565,953,937,893.16/575,187.75
  6. Step 6: Final answer
    x = 2,722,509.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.