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Finding the Third Proportional to 691,954 and 974,000

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Solution

The third proportional to 691,954 and 974,000 is: 1,371,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,954 : 974,000 = 974,000 : x
  2. Step 2: Convert to fraction form
    691,954/974,000 = 974,000/x
  3. Step 3: Cross multiply
    691,954x = 974,000 × 974,000
  4. Step 4: Simplify right side
    691,954x = 948,676,000,000
  5. Step 5: Solve for x
    x = 948,676,000,000/691,954
  6. Step 6: Final answer
    x = 1,371,010.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.