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Finding the Third Proportional to 1,332,768 and 2,902,176

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Solution

The third proportional to 1,332,768 and 2,902,176 is: 6,319,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,768 : 2,902,176 = 2,902,176 : x
  2. Step 2: Convert to fraction form
    1,332,768/2,902,176 = 2,902,176/x
  3. Step 3: Cross multiply
    1,332,768x = 2,902,176 × 2,902,176
  4. Step 4: Simplify right side
    1,332,768x = 8,422,625,534,976
  5. Step 5: Solve for x
    x = 8,422,625,534,976/1,332,768
  6. Step 6: Final answer
    x = 6,319,648.68

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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.