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Finding the Third Proportional to 1,456,298 and 3,192,532

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Solution

The third proportional to 1,456,298 and 3,192,532 is: 6,998,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,298 : 3,192,532 = 3,192,532 : x
  2. Step 2: Convert to fraction form
    1,456,298/3,192,532 = 3,192,532/x
  3. Step 3: Cross multiply
    1,456,298x = 3,192,532 × 3,192,532
  4. Step 4: Simplify right side
    1,456,298x = 10,192,260,571,024
  5. Step 5: Solve for x
    x = 10,192,260,571,024/1,456,298
  6. Step 6: Final answer
    x = 6,998,746.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.