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Finding the Third Proportional to 2,473,211 and 3,934,225

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Solution

The third proportional to 2,473,211 and 3,934,225 is: 6,258,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,211 : 3,934,225 = 3,934,225 : x
  2. Step 2: Convert to fraction form
    2,473,211/3,934,225 = 3,934,225/x
  3. Step 3: Cross multiply
    2,473,211x = 3,934,225 × 3,934,225
  4. Step 4: Simplify right side
    2,473,211x = 15,478,126,350,625
  5. Step 5: Solve for x
    x = 15,478,126,350,625/2,473,211
  6. Step 6: Final answer
    x = 6,258,312.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.