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Finding the Third Proportional to 419,718 and 899,323

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Solution

The third proportional to 419,718 and 899,323 is: 1,926,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,718 : 899,323 = 899,323 : x
  2. Step 2: Convert to fraction form
    419,718/899,323 = 899,323/x
  3. Step 3: Cross multiply
    419,718x = 899,323 × 899,323
  4. Step 4: Simplify right side
    419,718x = 808,781,858,329
  5. Step 5: Solve for x
    x = 808,781,858,329/419,718
  6. Step 6: Final answer
    x = 1,926,964.91

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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.