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Finding the Third Proportional to 453,195 and 1,058,463

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Solution

The third proportional to 453,195 and 1,058,463 is: 2,472,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,195 : 1,058,463 = 1,058,463 : x
  2. Step 2: Convert to fraction form
    453,195/1,058,463 = 1,058,463/x
  3. Step 3: Cross multiply
    453,195x = 1,058,463 × 1,058,463
  4. Step 4: Simplify right side
    453,195x = 1,120,343,922,369
  5. Step 5: Solve for x
    x = 1,120,343,922,369/453,195
  6. Step 6: Final answer
    x = 2,472,101.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.