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Finding the Third Proportional to 2,971,420.50 and 4,464,225

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Solution

The third proportional to 2,971,420.50 and 4,464,225 is: 6,706,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971,420.50 : 4,464,225 = 4,464,225 : x
  2. Step 2: Convert to fraction form
    2,971,420.50/4,464,225 = 4,464,225/x
  3. Step 3: Cross multiply
    2,971,420.50x = 4,464,225 × 4,464,225
  4. Step 4: Simplify right side
    2,971,420.50x = 19,929,304,850,625
  5. Step 5: Solve for x
    x = 19,929,304,850,625/2,971,420.50
  6. Step 6: Final answer
    x = 6,706,995.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.