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Finding the Third Proportional to 463,539 and 976,893

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Solution

The third proportional to 463,539 and 976,893 is: 2,058,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,539 : 976,893 = 976,893 : x
  2. Step 2: Convert to fraction form
    463,539/976,893 = 976,893/x
  3. Step 3: Cross multiply
    463,539x = 976,893 × 976,893
  4. Step 4: Simplify right side
    463,539x = 954,319,933,449
  5. Step 5: Solve for x
    x = 954,319,933,449/463,539
  6. Step 6: Final answer
    x = 2,058,769.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.