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Finding the Third Proportional to 1,578,150 and 3,451,611

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Solution

The third proportional to 1,578,150 and 3,451,611 is: 7,549,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,150 : 3,451,611 = 3,451,611 : x
  2. Step 2: Convert to fraction form
    1,578,150/3,451,611 = 3,451,611/x
  3. Step 3: Cross multiply
    1,578,150x = 3,451,611 × 3,451,611
  4. Step 4: Simplify right side
    1,578,150x = 11,913,618,495,321
  5. Step 5: Solve for x
    x = 11,913,618,495,321/1,578,150
  6. Step 6: Final answer
    x = 7,549,104.01

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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.