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Finding the Third Proportional to 982,335 and 2,147,286

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Solution

The third proportional to 982,335 and 2,147,286 is: 4,693,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,335 : 2,147,286 = 2,147,286 : x
  2. Step 2: Convert to fraction form
    982,335/2,147,286 = 2,147,286/x
  3. Step 3: Cross multiply
    982,335x = 2,147,286 × 2,147,286
  4. Step 4: Simplify right side
    982,335x = 4,610,837,165,796
  5. Step 5: Solve for x
    x = 4,610,837,165,796/982,335
  6. Step 6: Final answer
    x = 4,693,752.30

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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.