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Finding the Third Proportional to 778,466 and 1,173,267

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Solution

The third proportional to 778,466 and 1,173,267 is: 1,768,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,466 : 1,173,267 = 1,173,267 : x
  2. Step 2: Convert to fraction form
    778,466/1,173,267 = 1,173,267/x
  3. Step 3: Cross multiply
    778,466x = 1,173,267 × 1,173,267
  4. Step 4: Simplify right side
    778,466x = 1,376,555,453,289
  5. Step 5: Solve for x
    x = 1,376,555,453,289/778,466
  6. Step 6: Final answer
    x = 1,768,292.33

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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.