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Finding the Third Proportional to 3,211,650 and 4,689,333

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Solution

The third proportional to 3,211,650 and 4,689,333 is: 6,846,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,650 : 4,689,333 = 4,689,333 : x
  2. Step 2: Convert to fraction form
    3,211,650/4,689,333 = 4,689,333/x
  3. Step 3: Cross multiply
    3,211,650x = 4,689,333 × 4,689,333
  4. Step 4: Simplify right side
    3,211,650x = 21,989,843,984,889
  5. Step 5: Solve for x
    x = 21,989,843,984,889/3,211,650
  6. Step 6: Final answer
    x = 6,846,899.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.