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Finding the Third Proportional to 984,856.50 and 2,116,837.13

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Solution

The third proportional to 984,856.50 and 2,116,837.13 is: 4,549,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,856.50 : 2,116,837.13 = 2,116,837.13 : x
  2. Step 2: Convert to fraction form
    984,856.50/2,116,837.13 = 2,116,837.13/x
  3. Step 3: Cross multiply
    984,856.50x = 2,116,837.13 × 2,116,837.13
  4. Step 4: Simplify right side
    984,856.50x = 4,480,999,413,778.27
  5. Step 5: Solve for x
    x = 4,480,999,413,778.27/984,856.50
  6. Step 6: Final answer
    x = 4,549,900.84

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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.