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Finding the Third Proportional to 1,074,141 and 2,340,009

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Solution

The third proportional to 1,074,141 and 2,340,009 is: 5,097,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074,141 : 2,340,009 = 2,340,009 : x
  2. Step 2: Convert to fraction form
    1,074,141/2,340,009 = 2,340,009/x
  3. Step 3: Cross multiply
    1,074,141x = 2,340,009 × 2,340,009
  4. Step 4: Simplify right side
    1,074,141x = 5,475,642,120,081
  5. Step 5: Solve for x
    x = 5,475,642,120,081/1,074,141
  6. Step 6: Final answer
    x = 5,097,693.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.