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Finding the Third Proportional to 1,049,438 and 2,224,989

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Solution

The third proportional to 1,049,438 and 2,224,989 is: 4,717,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,438 : 2,224,989 = 2,224,989 : x
  2. Step 2: Convert to fraction form
    1,049,438/2,224,989 = 2,224,989/x
  3. Step 3: Cross multiply
    1,049,438x = 2,224,989 × 2,224,989
  4. Step 4: Simplify right side
    1,049,438x = 4,950,576,050,121
  5. Step 5: Solve for x
    x = 4,950,576,050,121/1,049,438
  6. Step 6: Final answer
    x = 4,717,359.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.