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Finding the Third Proportional to 828,144 and 1,165,896

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Solution

The third proportional to 828,144 and 1,165,896 is: 1,641,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,144 : 1,165,896 = 1,165,896 : x
  2. Step 2: Convert to fraction form
    828,144/1,165,896 = 1,165,896/x
  3. Step 3: Cross multiply
    828,144x = 1,165,896 × 1,165,896
  4. Step 4: Simplify right side
    828,144x = 1,359,313,482,816
  5. Step 5: Solve for x
    x = 1,359,313,482,816/828,144
  6. Step 6: Final answer
    x = 1,641,397.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.