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Finding the Third Proportional to 4,215,921 and 6,312,324

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Solution

The third proportional to 4,215,921 and 6,312,324 is: 9,451,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215,921 : 6,312,324 = 6,312,324 : x
  2. Step 2: Convert to fraction form
    4,215,921/6,312,324 = 6,312,324/x
  3. Step 3: Cross multiply
    4,215,921x = 6,312,324 × 6,312,324
  4. Step 4: Simplify right side
    4,215,921x = 39,845,434,280,976
  5. Step 5: Solve for x
    x = 39,845,434,280,976/4,215,921
  6. Step 6: Final answer
    x = 9,451,181.43

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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.