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Finding the Third Proportional to 816,153 and 1,776,864

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Solution

The third proportional to 816,153 and 1,776,864 is: 3,868,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,153 : 1,776,864 = 1,776,864 : x
  2. Step 2: Convert to fraction form
    816,153/1,776,864 = 1,776,864/x
  3. Step 3: Cross multiply
    816,153x = 1,776,864 × 1,776,864
  4. Step 4: Simplify right side
    816,153x = 3,157,245,674,496
  5. Step 5: Solve for x
    x = 3,157,245,674,496/816,153
  6. Step 6: Final answer
    x = 3,868,448.29

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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.