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Finding the Third Proportional to 1,023,017.87 and 1,422,424.55

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Solution

The third proportional to 1,023,017.87 and 1,422,424.55 is: 1,977,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,017.87 : 1,422,424.55 = 1,422,424.55 : x
  2. Step 2: Convert to fraction form
    1,023,017.87/1,422,424.55 = 1,422,424.55/x
  3. Step 3: Cross multiply
    1,023,017.87x = 1,422,424.55 × 1,422,424.55
  4. Step 4: Simplify right side
    1,023,017.87x = 2,023,291,591,552.55
  5. Step 5: Solve for x
    x = 2,023,291,591,552.55/1,023,017.87
  6. Step 6: Final answer
    x = 1,977,767.59

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.