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Finding the Third Proportional to 666,376 and 974,571

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Solution

The third proportional to 666,376 and 974,571 is: 1,425,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,376 : 974,571 = 974,571 : x
  2. Step 2: Convert to fraction form
    666,376/974,571 = 974,571/x
  3. Step 3: Cross multiply
    666,376x = 974,571 × 974,571
  4. Step 4: Simplify right side
    666,376x = 949,788,634,041
  5. Step 5: Solve for x
    x = 949,788,634,041/666,376
  6. Step 6: Final answer
    x = 1,425,304.38

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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.