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Finding the Third Proportional to 494,428 and 1,058,846

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Solution

The third proportional to 494,428 and 1,058,846 is: 2,267,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,428 : 1,058,846 = 1,058,846 : x
  2. Step 2: Convert to fraction form
    494,428/1,058,846 = 1,058,846/x
  3. Step 3: Cross multiply
    494,428x = 1,058,846 × 1,058,846
  4. Step 4: Simplify right side
    494,428x = 1,121,154,851,716
  5. Step 5: Solve for x
    x = 1,121,154,851,716/494,428
  6. Step 6: Final answer
    x = 2,267,579.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.