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Finding the Third Proportional to 485,502.75 and 1,077,117.75

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Solution

The third proportional to 485,502.75 and 1,077,117.75 is: 2,389,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,502.75 : 1,077,117.75 = 1,077,117.75 : x
  2. Step 2: Convert to fraction form
    485,502.75/1,077,117.75 = 1,077,117.75/x
  3. Step 3: Cross multiply
    485,502.75x = 1,077,117.75 × 1,077,117.75
  4. Step 4: Simplify right side
    485,502.75x = 1,160,182,647,365.06
  5. Step 5: Solve for x
    x = 1,160,182,647,365.06/485,502.75
  6. Step 6: Final answer
    x = 2,389,652.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.