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Finding the Third Proportional to 2,258,398 and 3,219,241

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Solution

The third proportional to 2,258,398 and 3,219,241 is: 4,588,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,398 : 3,219,241 = 3,219,241 : x
  2. Step 2: Convert to fraction form
    2,258,398/3,219,241 = 3,219,241/x
  3. Step 3: Cross multiply
    2,258,398x = 3,219,241 × 3,219,241
  4. Step 4: Simplify right side
    2,258,398x = 10,363,512,616,081
  5. Step 5: Solve for x
    x = 10,363,512,616,081/2,258,398
  6. Step 6: Final answer
    x = 4,588,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.