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Finding the Third Proportional to 2,177,115 and 3,432,644

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Solution

The third proportional to 2,177,115 and 3,432,644 is: 5,412,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,115 : 3,432,644 = 3,432,644 : x
  2. Step 2: Convert to fraction form
    2,177,115/3,432,644 = 3,432,644/x
  3. Step 3: Cross multiply
    2,177,115x = 3,432,644 × 3,432,644
  4. Step 4: Simplify right side
    2,177,115x = 11,783,044,830,736
  5. Step 5: Solve for x
    x = 11,783,044,830,736/2,177,115
  6. Step 6: Final answer
    x = 5,412,228.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.