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Finding the Third Proportional to 1,197,918 and 2,597,953

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Solution

The third proportional to 1,197,918 and 2,597,953 is: 5,634,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,918 : 2,597,953 = 2,597,953 : x
  2. Step 2: Convert to fraction form
    1,197,918/2,597,953 = 2,597,953/x
  3. Step 3: Cross multiply
    1,197,918x = 2,597,953 × 2,597,953
  4. Step 4: Simplify right side
    1,197,918x = 6,749,359,790,209
  5. Step 5: Solve for x
    x = 6,749,359,790,209/1,197,918
  6. Step 6: Final answer
    x = 5,634,241.90

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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.