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Finding the Third Proportional to 1,024,768.97 and 1,531,507.50

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Solution

The third proportional to 1,024,768.97 and 1,531,507.50 is: 2,288,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,768.97 : 1,531,507.50 = 1,531,507.50 : x
  2. Step 2: Convert to fraction form
    1,024,768.97/1,531,507.50 = 1,531,507.50/x
  3. Step 3: Cross multiply
    1,024,768.97x = 1,531,507.50 × 1,531,507.50
  4. Step 4: Simplify right side
    1,024,768.97x = 2,345,515,222,556.25
  5. Step 5: Solve for x
    x = 2,345,515,222,556.25/1,024,768.97
  6. Step 6: Final answer
    x = 2,288,823.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.