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Finding the Third Proportional to 419,776 and 899,392

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Solution

The third proportional to 419,776 and 899,392 is: 1,926,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,776 : 899,392 = 899,392 : x
  2. Step 2: Convert to fraction form
    419,776/899,392 = 899,392/x
  3. Step 3: Cross multiply
    419,776x = 899,392 × 899,392
  4. Step 4: Simplify right side
    419,776x = 808,905,969,664
  5. Step 5: Solve for x
    x = 808,905,969,664/419,776
  6. Step 6: Final answer
    x = 1,926,994.32

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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.