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Finding the Third Proportional to 779,634 and 1,679,581

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Solution

The third proportional to 779,634 and 1,679,581 is: 3,618,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,634 : 1,679,581 = 1,679,581 : x
  2. Step 2: Convert to fraction form
    779,634/1,679,581 = 1,679,581/x
  3. Step 3: Cross multiply
    779,634x = 1,679,581 × 1,679,581
  4. Step 4: Simplify right side
    779,634x = 2,820,992,335,561
  5. Step 5: Solve for x
    x = 2,820,992,335,561/779,634
  6. Step 6: Final answer
    x = 3,618,354.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.