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Finding the Third Proportional to 666,314 and 974,589

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Solution

The third proportional to 666,314 and 974,589 is: 1,425,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,314 : 974,589 = 974,589 : x
  2. Step 2: Convert to fraction form
    666,314/974,589 = 974,589/x
  3. Step 3: Cross multiply
    666,314x = 974,589 × 974,589
  4. Step 4: Simplify right side
    666,314x = 949,823,718,921
  5. Step 5: Solve for x
    x = 949,823,718,921/666,314
  6. Step 6: Final answer
    x = 1,425,489.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.