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Finding the Third Proportional to 539,460 and 1,163,058

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Solution

The third proportional to 539,460 and 1,163,058 is: 2,507,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,460 : 1,163,058 = 1,163,058 : x
  2. Step 2: Convert to fraction form
    539,460/1,163,058 = 1,163,058/x
  3. Step 3: Cross multiply
    539,460x = 1,163,058 × 1,163,058
  4. Step 4: Simplify right side
    539,460x = 1,352,703,911,364
  5. Step 5: Solve for x
    x = 1,352,703,911,364/539,460
  6. Step 6: Final answer
    x = 2,507,514.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.