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Finding the Third Proportional to 814,460 and 1,242,756

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Solution

The third proportional to 814,460 and 1,242,756 is: 1,896,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,460 : 1,242,756 = 1,242,756 : x
  2. Step 2: Convert to fraction form
    814,460/1,242,756 = 1,242,756/x
  3. Step 3: Cross multiply
    814,460x = 1,242,756 × 1,242,756
  4. Step 4: Simplify right side
    814,460x = 1,544,442,475,536
  5. Step 5: Solve for x
    x = 1,544,442,475,536/814,460
  6. Step 6: Final answer
    x = 1,896,277.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.