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Finding the Third Proportional to 864,311 and 1,867,105

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Solution

The third proportional to 864,311 and 1,867,105 is: 4,033,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,311 : 1,867,105 = 1,867,105 : x
  2. Step 2: Convert to fraction form
    864,311/1,867,105 = 1,867,105/x
  3. Step 3: Cross multiply
    864,311x = 1,867,105 × 1,867,105
  4. Step 4: Simplify right side
    864,311x = 3,486,081,081,025
  5. Step 5: Solve for x
    x = 3,486,081,081,025/864,311
  6. Step 6: Final answer
    x = 4,033,364.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.