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Finding the Third Proportional to 610,812 and 1,315,278

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Solution

The third proportional to 610,812 and 1,315,278 is: 2,832,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,812 : 1,315,278 = 1,315,278 : x
  2. Step 2: Convert to fraction form
    610,812/1,315,278 = 1,315,278/x
  3. Step 3: Cross multiply
    610,812x = 1,315,278 × 1,315,278
  4. Step 4: Simplify right side
    610,812x = 1,729,956,217,284
  5. Step 5: Solve for x
    x = 1,729,956,217,284/610,812
  6. Step 6: Final answer
    x = 2,832,223.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.