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Finding the Third Proportional to 417,384 and 900,000

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Solution

The third proportional to 417,384 and 900,000 is: 1,940,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,384 : 900,000 = 900,000 : x
  2. Step 2: Convert to fraction form
    417,384/900,000 = 900,000/x
  3. Step 3: Cross multiply
    417,384x = 900,000 × 900,000
  4. Step 4: Simplify right side
    417,384x = 810,000,000,000
  5. Step 5: Solve for x
    x = 810,000,000,000/417,384
  6. Step 6: Final answer
    x = 1,940,658.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.