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Finding the Third Proportional to 779,298 and 1,678,980

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Solution

The third proportional to 779,298 and 1,678,980 is: 3,617,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,298 : 1,678,980 = 1,678,980 : x
  2. Step 2: Convert to fraction form
    779,298/1,678,980 = 1,678,980/x
  3. Step 3: Cross multiply
    779,298x = 1,678,980 × 1,678,980
  4. Step 4: Simplify right side
    779,298x = 2,818,973,840,400
  5. Step 5: Solve for x
    x = 2,818,973,840,400/779,298
  6. Step 6: Final answer
    x = 3,617,324.62

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