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Finding the Third Proportional to 453,156 and 1,058,364

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Solution

The third proportional to 453,156 and 1,058,364 is: 2,471,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,156 : 1,058,364 = 1,058,364 : x
  2. Step 2: Convert to fraction form
    453,156/1,058,364 = 1,058,364/x
  3. Step 3: Cross multiply
    453,156x = 1,058,364 × 1,058,364
  4. Step 4: Simplify right side
    453,156x = 1,120,134,356,496
  5. Step 5: Solve for x
    x = 1,120,134,356,496/453,156
  6. Step 6: Final answer
    x = 2,471,851.54

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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.