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Finding the Third Proportional to 1,457,298 and 2,206,278

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Solution

The third proportional to 1,457,298 and 2,206,278 is: 3,340,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,298 : 2,206,278 = 2,206,278 : x
  2. Step 2: Convert to fraction form
    1,457,298/2,206,278 = 2,206,278/x
  3. Step 3: Cross multiply
    1,457,298x = 2,206,278 × 2,206,278
  4. Step 4: Simplify right side
    1,457,298x = 4,867,662,613,284
  5. Step 5: Solve for x
    x = 4,867,662,613,284/1,457,298
  6. Step 6: Final answer
    x = 3,340,197.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.