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Finding the Third Proportional to 687,096 and 1,475,766

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Solution

The third proportional to 687,096 and 1,475,766 is: 3,169,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,096 : 1,475,766 = 1,475,766 : x
  2. Step 2: Convert to fraction form
    687,096/1,475,766 = 1,475,766/x
  3. Step 3: Cross multiply
    687,096x = 1,475,766 × 1,475,766
  4. Step 4: Simplify right side
    687,096x = 2,177,885,286,756
  5. Step 5: Solve for x
    x = 2,177,885,286,756/687,096
  6. Step 6: Final answer
    x = 3,169,695.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.