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Finding the Third Proportional to 1,477,489 and 3,235,225

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Solution

The third proportional to 1,477,489 and 3,235,225 is: 7,084,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,489 : 3,235,225 = 3,235,225 : x
  2. Step 2: Convert to fraction form
    1,477,489/3,235,225 = 3,235,225/x
  3. Step 3: Cross multiply
    1,477,489x = 3,235,225 × 3,235,225
  4. Step 4: Simplify right side
    1,477,489x = 10,466,680,800,625
  5. Step 5: Solve for x
    x = 10,466,680,800,625/1,477,489
  6. Step 6: Final answer
    x = 7,084,100.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.