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Finding the Third Proportional to 674,301 and 1,434,418

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Solution

The third proportional to 674,301 and 1,434,418 is: 3,051,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,301 : 1,434,418 = 1,434,418 : x
  2. Step 2: Convert to fraction form
    674,301/1,434,418 = 1,434,418/x
  3. Step 3: Cross multiply
    674,301x = 1,434,418 × 1,434,418
  4. Step 4: Simplify right side
    674,301x = 2,057,554,998,724
  5. Step 5: Solve for x
    x = 2,057,554,998,724/674,301
  6. Step 6: Final answer
    x = 3,051,389.51

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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.