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Finding the Third Proportional to 1,024,533 and 1,540,107

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Solution

The third proportional to 1,024,533 and 1,540,107 is: 2,315,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,533 : 1,540,107 = 1,540,107 : x
  2. Step 2: Convert to fraction form
    1,024,533/1,540,107 = 1,540,107/x
  3. Step 3: Cross multiply
    1,024,533x = 1,540,107 × 1,540,107
  4. Step 4: Simplify right side
    1,024,533x = 2,371,929,571,449
  5. Step 5: Solve for x
    x = 2,371,929,571,449/1,024,533
  6. Step 6: Final answer
    x = 2,315,132.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.