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Finding the Third Proportional to 805,110 and 1,273,278

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Solution

The third proportional to 805,110 and 1,273,278 is: 2,013,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,110 : 1,273,278 = 1,273,278 : x
  2. Step 2: Convert to fraction form
    805,110/1,273,278 = 1,273,278/x
  3. Step 3: Cross multiply
    805,110x = 1,273,278 × 1,273,278
  4. Step 4: Simplify right side
    805,110x = 1,621,236,865,284
  5. Step 5: Solve for x
    x = 1,621,236,865,284/805,110
  6. Step 6: Final answer
    x = 2,013,683.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.