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Finding the Third Proportional to 1,828,276 and 3,971,048

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Solution

The third proportional to 1,828,276 and 3,971,048 is: 8,625,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,276 : 3,971,048 = 3,971,048 : x
  2. Step 2: Convert to fraction form
    1,828,276/3,971,048 = 3,971,048/x
  3. Step 3: Cross multiply
    1,828,276x = 3,971,048 × 3,971,048
  4. Step 4: Simplify right side
    1,828,276x = 15,769,222,218,304
  5. Step 5: Solve for x
    x = 15,769,222,218,304/1,828,276
  6. Step 6: Final answer
    x = 8,625,186.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.