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Finding the Third Proportional to 595,058 and 1,310,824

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Solution

The third proportional to 595,058 and 1,310,824 is: 2,887,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,058 : 1,310,824 = 1,310,824 : x
  2. Step 2: Convert to fraction form
    595,058/1,310,824 = 1,310,824/x
  3. Step 3: Cross multiply
    595,058x = 1,310,824 × 1,310,824
  4. Step 4: Simplify right side
    595,058x = 1,718,259,558,976
  5. Step 5: Solve for x
    x = 1,718,259,558,976/595,058
  6. Step 6: Final answer
    x = 2,887,549.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.