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Finding the Third Proportional to 459,113 and 991,997

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Solution

The third proportional to 459,113 and 991,997 is: 2,143,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,113 : 991,997 = 991,997 : x
  2. Step 2: Convert to fraction form
    459,113/991,997 = 991,997/x
  3. Step 3: Cross multiply
    459,113x = 991,997 × 991,997
  4. Step 4: Simplify right side
    459,113x = 984,058,048,009
  5. Step 5: Solve for x
    x = 984,058,048,009/459,113
  6. Step 6: Final answer
    x = 2,143,389.64

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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.