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Finding the Third Proportional to 1,832,660 and 3,791,032

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Solution

The third proportional to 1,832,660 and 3,791,032 is: 7,842,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,660 : 3,791,032 = 3,791,032 : x
  2. Step 2: Convert to fraction form
    1,832,660/3,791,032 = 3,791,032/x
  3. Step 3: Cross multiply
    1,832,660x = 3,791,032 × 3,791,032
  4. Step 4: Simplify right side
    1,832,660x = 14,371,923,625,024
  5. Step 5: Solve for x
    x = 14,371,923,625,024/1,832,660
  6. Step 6: Final answer
    x = 7,842,111.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.