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Finding the Third Proportional to 590,895 and 1,255,662

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Solution

The third proportional to 590,895 and 1,255,662 is: 2,668,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,895 : 1,255,662 = 1,255,662 : x
  2. Step 2: Convert to fraction form
    590,895/1,255,662 = 1,255,662/x
  3. Step 3: Cross multiply
    590,895x = 1,255,662 × 1,255,662
  4. Step 4: Simplify right side
    590,895x = 1,576,687,058,244
  5. Step 5: Solve for x
    x = 1,576,687,058,244/590,895
  6. Step 6: Final answer
    x = 2,668,303.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.