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Finding the Third Proportional to 1,737,864 and 3,784,662

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Solution

The third proportional to 1,737,864 and 3,784,662 is: 8,242,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,864 : 3,784,662 = 3,784,662 : x
  2. Step 2: Convert to fraction form
    1,737,864/3,784,662 = 3,784,662/x
  3. Step 3: Cross multiply
    1,737,864x = 3,784,662 × 3,784,662
  4. Step 4: Simplify right side
    1,737,864x = 14,323,666,454,244
  5. Step 5: Solve for x
    x = 14,323,666,454,244/1,737,864
  6. Step 6: Final answer
    x = 8,242,110.12

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