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Finding the Third Proportional to 836,448 and 1,262,464

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Solution

The third proportional to 836,448 and 1,262,464 is: 1,905,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,448 : 1,262,464 = 1,262,464 : x
  2. Step 2: Convert to fraction form
    836,448/1,262,464 = 1,262,464/x
  3. Step 3: Cross multiply
    836,448x = 1,262,464 × 1,262,464
  4. Step 4: Simplify right side
    836,448x = 1,593,815,351,296
  5. Step 5: Solve for x
    x = 1,593,815,351,296/836,448
  6. Step 6: Final answer
    x = 1,905,456.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.