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Finding the Third Proportional to 1,246,141 and 2,710,977

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Solution

The third proportional to 1,246,141 and 2,710,977 is: 5,897,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,141 : 2,710,977 = 2,710,977 : x
  2. Step 2: Convert to fraction form
    1,246,141/2,710,977 = 2,710,977/x
  3. Step 3: Cross multiply
    1,246,141x = 2,710,977 × 2,710,977
  4. Step 4: Simplify right side
    1,246,141x = 7,349,396,294,529
  5. Step 5: Solve for x
    x = 7,349,396,294,529/1,246,141
  6. Step 6: Final answer
    x = 5,897,724.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.