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Finding the Third Proportional to 690,675.75 and 1,494,846

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Solution

The third proportional to 690,675.75 and 1,494,846 is: 3,235,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,675.75 : 1,494,846 = 1,494,846 : x
  2. Step 2: Convert to fraction form
    690,675.75/1,494,846 = 1,494,846/x
  3. Step 3: Cross multiply
    690,675.75x = 1,494,846 × 1,494,846
  4. Step 4: Simplify right side
    690,675.75x = 2,234,564,563,716
  5. Step 5: Solve for x
    x = 2,234,564,563,716/690,675.75
  6. Step 6: Final answer
    x = 3,235,330.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.