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Finding the Third Proportional to 1,014,334.50 and 2,141,844

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Solution

The third proportional to 1,014,334.50 and 2,141,844 is: 4,522,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,334.50 : 2,141,844 = 2,141,844 : x
  2. Step 2: Convert to fraction form
    1,014,334.50/2,141,844 = 2,141,844/x
  3. Step 3: Cross multiply
    1,014,334.50x = 2,141,844 × 2,141,844
  4. Step 4: Simplify right side
    1,014,334.50x = 4,587,495,720,336
  5. Step 5: Solve for x
    x = 4,587,495,720,336/1,014,334.50
  6. Step 6: Final answer
    x = 4,522,665.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.