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Finding the Third Proportional to 927,794 and 1,977,087

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Solution

The third proportional to 927,794 and 1,977,087 is: 4,213,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,794 : 1,977,087 = 1,977,087 : x
  2. Step 2: Convert to fraction form
    927,794/1,977,087 = 1,977,087/x
  3. Step 3: Cross multiply
    927,794x = 1,977,087 × 1,977,087
  4. Step 4: Simplify right side
    927,794x = 3,908,873,005,569
  5. Step 5: Solve for x
    x = 3,908,873,005,569/927,794
  6. Step 6: Final answer
    x = 4,213,082.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.