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Finding the Third Proportional to 1,098,467 and 2,315,031

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Solution

The third proportional to 1,098,467 and 2,315,031 is: 4,878,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,467 : 2,315,031 = 2,315,031 : x
  2. Step 2: Convert to fraction form
    1,098,467/2,315,031 = 2,315,031/x
  3. Step 3: Cross multiply
    1,098,467x = 2,315,031 × 2,315,031
  4. Step 4: Simplify right side
    1,098,467x = 5,359,368,530,961
  5. Step 5: Solve for x
    x = 5,359,368,530,961/1,098,467
  6. Step 6: Final answer
    x = 4,878,952.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.