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Finding the Third Proportional to 690,898 and 1,016,589

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Solution

The third proportional to 690,898 and 1,016,589 is: 1,495,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,898 : 1,016,589 = 1,016,589 : x
  2. Step 2: Convert to fraction form
    690,898/1,016,589 = 1,016,589/x
  3. Step 3: Cross multiply
    690,898x = 1,016,589 × 1,016,589
  4. Step 4: Simplify right side
    690,898x = 1,033,453,194,921
  5. Step 5: Solve for x
    x = 1,033,453,194,921/690,898
  6. Step 6: Final answer
    x = 1,495,811.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.