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Finding the Third Proportional to 1,345,014 and 2,914,101

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Solution

The third proportional to 1,345,014 and 2,914,101 is: 6,313,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,014 : 2,914,101 = 2,914,101 : x
  2. Step 2: Convert to fraction form
    1,345,014/2,914,101 = 2,914,101/x
  3. Step 3: Cross multiply
    1,345,014x = 2,914,101 × 2,914,101
  4. Step 4: Simplify right side
    1,345,014x = 8,491,984,638,201
  5. Step 5: Solve for x
    x = 8,491,984,638,201/1,345,014
  6. Step 6: Final answer
    x = 6,313,677.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.