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Finding the Third Proportional to 391,604 and 834,412

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Solution

The third proportional to 391,604 and 834,412 is: 1,777,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,604 : 834,412 = 834,412 : x
  2. Step 2: Convert to fraction form
    391,604/834,412 = 834,412/x
  3. Step 3: Cross multiply
    391,604x = 834,412 × 834,412
  4. Step 4: Simplify right side
    391,604x = 696,243,385,744
  5. Step 5: Solve for x
    x = 696,243,385,744/391,604
  6. Step 6: Final answer
    x = 1,777,927.16

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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.