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Finding the Third Proportional to 674,496 and 1,396,534

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Solution

The third proportional to 674,496 and 1,396,534 is: 2,891,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,496 : 1,396,534 = 1,396,534 : x
  2. Step 2: Convert to fraction form
    674,496/1,396,534 = 1,396,534/x
  3. Step 3: Cross multiply
    674,496x = 1,396,534 × 1,396,534
  4. Step 4: Simplify right side
    674,496x = 1,950,307,213,156
  5. Step 5: Solve for x
    x = 1,950,307,213,156/674,496
  6. Step 6: Final answer
    x = 2,891,503.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.