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Finding the Third Proportional to 409,461 and 885,991

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Solution

The third proportional to 409,461 and 885,991 is: 1,917,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,461 : 885,991 = 885,991 : x
  2. Step 2: Convert to fraction form
    409,461/885,991 = 885,991/x
  3. Step 3: Cross multiply
    409,461x = 885,991 × 885,991
  4. Step 4: Simplify right side
    409,461x = 784,980,052,081
  5. Step 5: Solve for x
    x = 784,980,052,081/409,461
  6. Step 6: Final answer
    x = 1,917,105.79

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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.