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Finding the Third Proportional to 1,000,467 and 2,158,398

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Solution

The third proportional to 1,000,467 and 2,158,398 is: 4,656,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,467 : 2,158,398 = 2,158,398 : x
  2. Step 2: Convert to fraction form
    1,000,467/2,158,398 = 2,158,398/x
  3. Step 3: Cross multiply
    1,000,467x = 2,158,398 × 2,158,398
  4. Step 4: Simplify right side
    1,000,467x = 4,658,681,926,404
  5. Step 5: Solve for x
    x = 4,658,681,926,404/1,000,467
  6. Step 6: Final answer
    x = 4,656,507.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.