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Finding the Third Proportional to 458,887 and 984,202

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Solution

The third proportional to 458,887 and 984,202 is: 2,110,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,887 : 984,202 = 984,202 : x
  2. Step 2: Convert to fraction form
    458,887/984,202 = 984,202/x
  3. Step 3: Cross multiply
    458,887x = 984,202 × 984,202
  4. Step 4: Simplify right side
    458,887x = 968,653,576,804
  5. Step 5: Solve for x
    x = 968,653,576,804/458,887
  6. Step 6: Final answer
    x = 2,110,876.05

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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.