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Finding the Third Proportional to 2,258,323 and 3,219,287

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Solution

The third proportional to 2,258,323 and 3,219,287 is: 4,589,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,323 : 3,219,287 = 3,219,287 : x
  2. Step 2: Convert to fraction form
    2,258,323/3,219,287 = 3,219,287/x
  3. Step 3: Cross multiply
    2,258,323x = 3,219,287 × 3,219,287
  4. Step 4: Simplify right side
    2,258,323x = 10,363,808,788,369
  5. Step 5: Solve for x
    x = 10,363,808,788,369/2,258,323
  6. Step 6: Final answer
    x = 4,589,161.42

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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.