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Finding the Third Proportional to 454,086 and 986,772

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Solution

The third proportional to 454,086 and 986,772 is: 2,144,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,086 : 986,772 = 986,772 : x
  2. Step 2: Convert to fraction form
    454,086/986,772 = 986,772/x
  3. Step 3: Cross multiply
    454,086x = 986,772 × 986,772
  4. Step 4: Simplify right side
    454,086x = 973,718,979,984
  5. Step 5: Solve for x
    x = 973,718,979,984/454,086
  6. Step 6: Final answer
    x = 2,144,349.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.