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Finding the Third Proportional to 417,234 and 900,990

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Solution

The third proportional to 417,234 and 900,990 is: 1,945,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,234 : 900,990 = 900,990 : x
  2. Step 2: Convert to fraction form
    417,234/900,990 = 900,990/x
  3. Step 3: Cross multiply
    417,234x = 900,990 × 900,990
  4. Step 4: Simplify right side
    417,234x = 811,782,980,100
  5. Step 5: Solve for x
    x = 811,782,980,100/417,234
  6. Step 6: Final answer
    x = 1,945,629.98

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Why These Related Problems?

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