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Finding the Third Proportional to 949,242.38 and 2,078,787.38

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Solution

The third proportional to 949,242.38 and 2,078,787.38 is: 4,552,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,242.38 : 2,078,787.38 = 2,078,787.38 : x
  2. Step 2: Convert to fraction form
    949,242.38/2,078,787.38 = 2,078,787.38/x
  3. Step 3: Cross multiply
    949,242.38x = 2,078,787.38 × 2,078,787.38
  4. Step 4: Simplify right side
    949,242.38x = 4,321,356,950,459.39
  5. Step 5: Solve for x
    x = 4,321,356,950,459.39/949,242.38
  6. Step 6: Final answer
    x = 4,552,427.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.