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Finding the Third Proportional to 778,944 and 1,679,424

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Solution

The third proportional to 778,944 and 1,679,424 is: 3,620,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,944 : 1,679,424 = 1,679,424 : x
  2. Step 2: Convert to fraction form
    778,944/1,679,424 = 1,679,424/x
  3. Step 3: Cross multiply
    778,944x = 1,679,424 × 1,679,424
  4. Step 4: Simplify right side
    778,944x = 2,820,464,971,776
  5. Step 5: Solve for x
    x = 2,820,464,971,776/778,944
  6. Step 6: Final answer
    x = 3,620,882.85

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