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Finding the Third Proportional to 785,412 and 1,694,376

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Solution

The third proportional to 785,412 and 1,694,376 is: 3,655,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,412 : 1,694,376 = 1,694,376 : x
  2. Step 2: Convert to fraction form
    785,412/1,694,376 = 1,694,376/x
  3. Step 3: Cross multiply
    785,412x = 1,694,376 × 1,694,376
  4. Step 4: Simplify right side
    785,412x = 2,870,910,029,376
  5. Step 5: Solve for x
    x = 2,870,910,029,376/785,412
  6. Step 6: Final answer
    x = 3,655,291.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.