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Finding the Third Proportional to 492,458 and 1,058,472

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Solution

The third proportional to 492,458 and 1,058,472 is: 2,275,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,458 : 1,058,472 = 1,058,472 : x
  2. Step 2: Convert to fraction form
    492,458/1,058,472 = 1,058,472/x
  3. Step 3: Cross multiply
    492,458x = 1,058,472 × 1,058,472
  4. Step 4: Simplify right side
    492,458x = 1,120,362,974,784
  5. Step 5: Solve for x
    x = 1,120,362,974,784/492,458
  6. Step 6: Final answer
    x = 2,275,042.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.