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Finding the Third Proportional to 918,789,426 and 1,412,245,206

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Solution

The third proportional to 918,789,426 and 1,412,245,206 is: 2,170,722,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,789,426 : 1,412,245,206 = 1,412,245,206 : x
  2. Step 2: Convert to fraction form
    918,789,426/1,412,245,206 = 1,412,245,206/x
  3. Step 3: Cross multiply
    918,789,426x = 1,412,245,206 × 1,412,245,206
  4. Step 4: Simplify right side
    918,789,426x = 1,994,436,521,869,982,464
  5. Step 5: Solve for x
    x = 1,994,436,521,869,982,464/918,789,426
  6. Step 6: Final answer
    x = 2,170,722,110.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.