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Finding the Third Proportional to 419,715 and 899,317

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Solution

The third proportional to 419,715 and 899,317 is: 1,926,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715 : 899,317 = 899,317 : x
  2. Step 2: Convert to fraction form
    419,715/899,317 = 899,317/x
  3. Step 3: Cross multiply
    419,715x = 899,317 × 899,317
  4. Step 4: Simplify right side
    419,715x = 808,771,066,489
  5. Step 5: Solve for x
    x = 808,771,066,489/419,715
  6. Step 6: Final answer
    x = 1,926,952.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.