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Finding the Third Proportional to 1,022,520 and 1,555,024.50

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Solution

The third proportional to 1,022,520 and 1,555,024.50 is: 2,364,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,520 : 1,555,024.50 = 1,555,024.50 : x
  2. Step 2: Convert to fraction form
    1,022,520/1,555,024.50 = 1,555,024.50/x
  3. Step 3: Cross multiply
    1,022,520x = 1,555,024.50 × 1,555,024.50
  4. Step 4: Simplify right side
    1,022,520x = 2,418,101,195,600.25
  5. Step 5: Solve for x
    x = 2,418,101,195,600.25/1,022,520
  6. Step 6: Final answer
    x = 2,364,844.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.