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Finding the Third Proportional to 2,832,297 and 4,271,949

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Solution

The third proportional to 2,832,297 and 4,271,949 is: 6,443,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832,297 : 4,271,949 = 4,271,949 : x
  2. Step 2: Convert to fraction form
    2,832,297/4,271,949 = 4,271,949/x
  3. Step 3: Cross multiply
    2,832,297x = 4,271,949 × 4,271,949
  4. Step 4: Simplify right side
    2,832,297x = 18,249,548,258,601
  5. Step 5: Solve for x
    x = 18,249,548,258,601/2,832,297
  6. Step 6: Final answer
    x = 6,443,373.79

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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.