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Finding the Third Proportional to 492,454 and 1,058,464

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Solution

The third proportional to 492,454 and 1,058,464 is: 2,275,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,454 : 1,058,464 = 1,058,464 : x
  2. Step 2: Convert to fraction form
    492,454/1,058,464 = 1,058,464/x
  3. Step 3: Cross multiply
    492,454x = 1,058,464 × 1,058,464
  4. Step 4: Simplify right side
    492,454x = 1,120,346,039,296
  5. Step 5: Solve for x
    x = 1,120,346,039,296/492,454
  6. Step 6: Final answer
    x = 2,275,026.78

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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.