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Finding the Third Proportional to 836,394 and 1,330,864

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Solution

The third proportional to 836,394 and 1,330,864 is: 2,117,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,394 : 1,330,864 = 1,330,864 : x
  2. Step 2: Convert to fraction form
    836,394/1,330,864 = 1,330,864/x
  3. Step 3: Cross multiply
    836,394x = 1,330,864 × 1,330,864
  4. Step 4: Simplify right side
    836,394x = 1,771,198,986,496
  5. Step 5: Solve for x
    x = 1,771,198,986,496/836,394
  6. Step 6: Final answer
    x = 2,117,661.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.