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Finding the Third Proportional to 442,521 and 978,058

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Solution

The third proportional to 442,521 and 978,058 is: 2,161,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,521 : 978,058 = 978,058 : x
  2. Step 2: Convert to fraction form
    442,521/978,058 = 978,058/x
  3. Step 3: Cross multiply
    442,521x = 978,058 × 978,058
  4. Step 4: Simplify right side
    442,521x = 956,597,451,364
  5. Step 5: Solve for x
    x = 956,597,451,364/442,521
  6. Step 6: Final answer
    x = 2,161,699.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.