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Finding the Third Proportional to 1,342,836 and 2,617,144

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Solution

The third proportional to 1,342,836 and 2,617,144 is: 5,100,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,836 : 2,617,144 = 2,617,144 : x
  2. Step 2: Convert to fraction form
    1,342,836/2,617,144 = 2,617,144/x
  3. Step 3: Cross multiply
    1,342,836x = 2,617,144 × 2,617,144
  4. Step 4: Simplify right side
    1,342,836x = 6,849,442,716,736
  5. Step 5: Solve for x
    x = 6,849,442,716,736/1,342,836
  6. Step 6: Final answer
    x = 5,100,729.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.