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Finding the Third Proportional to 996,900 and 1,566,774

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Solution

The third proportional to 996,900 and 1,566,774 is: 2,462,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,900 : 1,566,774 = 1,566,774 : x
  2. Step 2: Convert to fraction form
    996,900/1,566,774 = 1,566,774/x
  3. Step 3: Cross multiply
    996,900x = 1,566,774 × 1,566,774
  4. Step 4: Simplify right side
    996,900x = 2,454,780,767,076
  5. Step 5: Solve for x
    x = 2,454,780,767,076/996,900
  6. Step 6: Final answer
    x = 2,462,414.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.