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Finding the Third Proportional to 806,139 and 1,258,227

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Solution

The third proportional to 806,139 and 1,258,227 is: 1,963,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,139 : 1,258,227 = 1,258,227 : x
  2. Step 2: Convert to fraction form
    806,139/1,258,227 = 1,258,227/x
  3. Step 3: Cross multiply
    806,139x = 1,258,227 × 1,258,227
  4. Step 4: Simplify right side
    806,139x = 1,583,135,183,529
  5. Step 5: Solve for x
    x = 1,583,135,183,529/806,139
  6. Step 6: Final answer
    x = 1,963,848.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.