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Finding the Third Proportional to 960,837 and 2,224,108.50

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Solution

The third proportional to 960,837 and 2,224,108.50 is: 5,148,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,837 : 2,224,108.50 = 2,224,108.50 : x
  2. Step 2: Convert to fraction form
    960,837/2,224,108.50 = 2,224,108.50/x
  3. Step 3: Cross multiply
    960,837x = 2,224,108.50 × 2,224,108.50
  4. Step 4: Simplify right side
    960,837x = 4,946,658,619,772.25
  5. Step 5: Solve for x
    x = 4,946,658,619,772.25/960,837
  6. Step 6: Final answer
    x = 5,148,280.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.