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Finding the Third Proportional to 916,864 and 1,377,028

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Solution

The third proportional to 916,864 and 1,377,028 is: 2,068,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,864 : 1,377,028 = 1,377,028 : x
  2. Step 2: Convert to fraction form
    916,864/1,377,028 = 1,377,028/x
  3. Step 3: Cross multiply
    916,864x = 1,377,028 × 1,377,028
  4. Step 4: Simplify right side
    916,864x = 1,896,206,112,784
  5. Step 5: Solve for x
    x = 1,896,206,112,784/916,864
  6. Step 6: Final answer
    x = 2,068,143.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.