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Finding the Third Proportional to 1,756,800 and 3,834,864

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Solution

The third proportional to 1,756,800 and 3,834,864 is: 8,371,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,800 : 3,834,864 = 3,834,864 : x
  2. Step 2: Convert to fraction form
    1,756,800/3,834,864 = 3,834,864/x
  3. Step 3: Cross multiply
    1,756,800x = 3,834,864 × 3,834,864
  4. Step 4: Simplify right side
    1,756,800x = 14,706,181,898,496
  5. Step 5: Solve for x
    x = 14,706,181,898,496/1,756,800
  6. Step 6: Final answer
    x = 8,371,005.18

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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.