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Finding the Third Proportional to 1,310,129 and 2,864,649

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Solution

The third proportional to 1,310,129 and 2,864,649 is: 6,263,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,129 : 2,864,649 = 2,864,649 : x
  2. Step 2: Convert to fraction form
    1,310,129/2,864,649 = 2,864,649/x
  3. Step 3: Cross multiply
    1,310,129x = 2,864,649 × 2,864,649
  4. Step 4: Simplify right side
    1,310,129x = 8,206,213,893,201
  5. Step 5: Solve for x
    x = 8,206,213,893,201/1,310,129
  6. Step 6: Final answer
    x = 6,263,668.61

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