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Finding the Third Proportional to 658,977 and 1,438,784

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Solution

The third proportional to 658,977 and 1,438,784 is: 3,141,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,977 : 1,438,784 = 1,438,784 : x
  2. Step 2: Convert to fraction form
    658,977/1,438,784 = 1,438,784/x
  3. Step 3: Cross multiply
    658,977x = 1,438,784 × 1,438,784
  4. Step 4: Simplify right side
    658,977x = 2,070,099,398,656
  5. Step 5: Solve for x
    x = 2,070,099,398,656/658,977
  6. Step 6: Final answer
    x = 3,141,383.38

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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.