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Finding the Third Proportional to 458,811 and 987,924

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Solution

The third proportional to 458,811 and 987,924 is: 2,127,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,811 : 987,924 = 987,924 : x
  2. Step 2: Convert to fraction form
    458,811/987,924 = 987,924/x
  3. Step 3: Cross multiply
    458,811x = 987,924 × 987,924
  4. Step 4: Simplify right side
    458,811x = 975,993,829,776
  5. Step 5: Solve for x
    x = 975,993,829,776/458,811
  6. Step 6: Final answer
    x = 2,127,224.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.