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Finding the Third Proportional to 2,023,486 and 4,335,431

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Solution

The third proportional to 2,023,486 and 4,335,431 is: 9,288,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,486 : 4,335,431 = 4,335,431 : x
  2. Step 2: Convert to fraction form
    2,023,486/4,335,431 = 4,335,431/x
  3. Step 3: Cross multiply
    2,023,486x = 4,335,431 × 4,335,431
  4. Step 4: Simplify right side
    2,023,486x = 18,795,961,955,761
  5. Step 5: Solve for x
    x = 18,795,961,955,761/2,023,486
  6. Step 6: Final answer
    x = 9,288,901.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.