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Finding the Third Proportional to 980,023.50 and 1,514,139.75

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Solution

The third proportional to 980,023.50 and 1,514,139.75 is: 2,339,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,023.50 : 1,514,139.75 = 1,514,139.75 : x
  2. Step 2: Convert to fraction form
    980,023.50/1,514,139.75 = 1,514,139.75/x
  3. Step 3: Cross multiply
    980,023.50x = 1,514,139.75 × 1,514,139.75
  4. Step 4: Simplify right side
    980,023.50x = 2,292,619,182,530.06
  5. Step 5: Solve for x
    x = 2,292,619,182,530.06/980,023.50
  6. Step 6: Final answer
    x = 2,339,351.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.