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Finding the Third Proportional to 1,258,826 and 1,936,016

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Solution

The third proportional to 1,258,826 and 1,936,016 is: 2,977,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,826 : 1,936,016 = 1,936,016 : x
  2. Step 2: Convert to fraction form
    1,258,826/1,936,016 = 1,936,016/x
  3. Step 3: Cross multiply
    1,258,826x = 1,936,016 × 1,936,016
  4. Step 4: Simplify right side
    1,258,826x = 3,748,157,952,256
  5. Step 5: Solve for x
    x = 3,748,157,952,256/1,258,826
  6. Step 6: Final answer
    x = 2,977,502.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.