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Finding the Third Proportional to 823,959 and 1,275,142.50

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Solution

The third proportional to 823,959 and 1,275,142.50 is: 1,973,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,959 : 1,275,142.50 = 1,275,142.50 : x
  2. Step 2: Convert to fraction form
    823,959/1,275,142.50 = 1,275,142.50/x
  3. Step 3: Cross multiply
    823,959x = 1,275,142.50 × 1,275,142.50
  4. Step 4: Simplify right side
    823,959x = 1,625,988,395,306.25
  5. Step 5: Solve for x
    x = 1,625,988,395,306.25/823,959
  6. Step 6: Final answer
    x = 1,973,385.08

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