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Finding the Third Proportional to 4,310,766 and 6,762,288

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Solution

The third proportional to 4,310,766 and 6,762,288 is: 10,607,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310,766 : 6,762,288 = 6,762,288 : x
  2. Step 2: Convert to fraction form
    4,310,766/6,762,288 = 6,762,288/x
  3. Step 3: Cross multiply
    4,310,766x = 6,762,288 × 6,762,288
  4. Step 4: Simplify right side
    4,310,766x = 45,728,538,994,944
  5. Step 5: Solve for x
    x = 45,728,538,994,944/4,310,766
  6. Step 6: Final answer
    x = 10,607,984.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.