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Finding the Third Proportional to 539,854.50 and 1,249,789.50

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Solution

The third proportional to 539,854.50 and 1,249,789.50 is: 2,893,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,854.50 : 1,249,789.50 = 1,249,789.50 : x
  2. Step 2: Convert to fraction form
    539,854.50/1,249,789.50 = 1,249,789.50/x
  3. Step 3: Cross multiply
    539,854.50x = 1,249,789.50 × 1,249,789.50
  4. Step 4: Simplify right side
    539,854.50x = 1,561,973,794,310.25
  5. Step 5: Solve for x
    x = 1,561,973,794,310.25/539,854.50
  6. Step 6: Final answer
    x = 2,893,323.65

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.