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Finding the Third Proportional to 419,856 and 899,610

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Solution

The third proportional to 419,856 and 899,610 is: 1,927,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,856 : 899,610 = 899,610 : x
  2. Step 2: Convert to fraction form
    419,856/899,610 = 899,610/x
  3. Step 3: Cross multiply
    419,856x = 899,610 × 899,610
  4. Step 4: Simplify right side
    419,856x = 809,298,152,100
  5. Step 5: Solve for x
    x = 809,298,152,100/419,856
  6. Step 6: Final answer
    x = 1,927,561.24

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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.