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Finding the Third Proportional to 778,677 and 1,726,446

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Solution

The third proportional to 778,677 and 1,726,446 is: 3,827,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,677 : 1,726,446 = 1,726,446 : x
  2. Step 2: Convert to fraction form
    778,677/1,726,446 = 1,726,446/x
  3. Step 3: Cross multiply
    778,677x = 1,726,446 × 1,726,446
  4. Step 4: Simplify right side
    778,677x = 2,980,615,790,916
  5. Step 5: Solve for x
    x = 2,980,615,790,916/778,677
  6. Step 6: Final answer
    x = 3,827,794.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.