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Finding the Third Proportional to 1,197,917 and 2,597,952

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Solution

The third proportional to 1,197,917 and 2,597,952 is: 5,634,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,917 : 2,597,952 = 2,597,952 : x
  2. Step 2: Convert to fraction form
    1,197,917/2,597,952 = 2,597,952/x
  3. Step 3: Cross multiply
    1,197,917x = 2,597,952 × 2,597,952
  4. Step 4: Simplify right side
    1,197,917x = 6,749,354,594,304
  5. Step 5: Solve for x
    x = 6,749,354,594,304/1,197,917
  6. Step 6: Final answer
    x = 5,634,242.27

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Why These Related Problems?

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