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Finding the Third Proportional to 349,466 and 821,441

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Solution

The third proportional to 349,466 and 821,441 is: 1,930,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,466 : 821,441 = 821,441 : x
  2. Step 2: Convert to fraction form
    349,466/821,441 = 821,441/x
  3. Step 3: Cross multiply
    349,466x = 821,441 × 821,441
  4. Step 4: Simplify right side
    349,466x = 674,765,316,481
  5. Step 5: Solve for x
    x = 674,765,316,481/349,466
  6. Step 6: Final answer
    x = 1,930,846.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.