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Finding the Third Proportional to 1,364,986 and 2,141,077

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Solution

The third proportional to 1,364,986 and 2,141,077 is: 3,358,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,986 : 2,141,077 = 2,141,077 : x
  2. Step 2: Convert to fraction form
    1,364,986/2,141,077 = 2,141,077/x
  3. Step 3: Cross multiply
    1,364,986x = 2,141,077 × 2,141,077
  4. Step 4: Simplify right side
    1,364,986x = 4,584,210,719,929
  5. Step 5: Solve for x
    x = 4,584,210,719,929/1,364,986
  6. Step 6: Final answer
    x = 3,358,430.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.