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Finding the Third Proportional to 2,258,391 and 3,219,231

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Solution

The third proportional to 2,258,391 and 3,219,231 is: 4,588,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,391 : 3,219,231 = 3,219,231 : x
  2. Step 2: Convert to fraction form
    2,258,391/3,219,231 = 3,219,231/x
  3. Step 3: Cross multiply
    2,258,391x = 3,219,231 × 3,219,231
  4. Step 4: Simplify right side
    2,258,391x = 10,363,448,231,361
  5. Step 5: Solve for x
    x = 10,363,448,231,361/2,258,391
  6. Step 6: Final answer
    x = 4,588,863.59

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