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Finding the Third Proportional to 674,298 and 1,434,412

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Solution

The third proportional to 674,298 and 1,434,412 is: 3,051,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,298 : 1,434,412 = 1,434,412 : x
  2. Step 2: Convert to fraction form
    674,298/1,434,412 = 1,434,412/x
  3. Step 3: Cross multiply
    674,298x = 1,434,412 × 1,434,412
  4. Step 4: Simplify right side
    674,298x = 2,057,537,785,744
  5. Step 5: Solve for x
    x = 2,057,537,785,744/674,298
  6. Step 6: Final answer
    x = 3,051,377.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.