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Finding the Third Proportional to 2,030,439 and 4,418,084

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Solution

The third proportional to 2,030,439 and 4,418,084 is: 9,613,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,439 : 4,418,084 = 4,418,084 : x
  2. Step 2: Convert to fraction form
    2,030,439/4,418,084 = 4,418,084/x
  3. Step 3: Cross multiply
    2,030,439x = 4,418,084 × 4,418,084
  4. Step 4: Simplify right side
    2,030,439x = 19,519,466,231,056
  5. Step 5: Solve for x
    x = 19,519,466,231,056/2,030,439
  6. Step 6: Final answer
    x = 9,613,421.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.