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Finding the Third Proportional to 779,616 and 1,679,544

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Solution

The third proportional to 779,616 and 1,679,544 is: 3,618,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,616 : 1,679,544 = 1,679,544 : x
  2. Step 2: Convert to fraction form
    779,616/1,679,544 = 1,679,544/x
  3. Step 3: Cross multiply
    779,616x = 1,679,544 × 1,679,544
  4. Step 4: Simplify right side
    779,616x = 2,820,868,047,936
  5. Step 5: Solve for x
    x = 2,820,868,047,936/779,616
  6. Step 6: Final answer
    x = 3,618,278.80

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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.