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Finding the Third Proportional to 676,058 and 1,572,048

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Solution

The third proportional to 676,058 and 1,572,048 is: 3,655,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,058 : 1,572,048 = 1,572,048 : x
  2. Step 2: Convert to fraction form
    676,058/1,572,048 = 1,572,048/x
  3. Step 3: Cross multiply
    676,058x = 1,572,048 × 1,572,048
  4. Step 4: Simplify right side
    676,058x = 2,471,334,914,304
  5. Step 5: Solve for x
    x = 2,471,334,914,304/676,058
  6. Step 6: Final answer
    x = 3,655,507.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.