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Finding the Third Proportional to 778,449 and 1,673,322

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Solution

The third proportional to 778,449 and 1,673,322 is: 3,596,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,449 : 1,673,322 = 1,673,322 : x
  2. Step 2: Convert to fraction form
    778,449/1,673,322 = 1,673,322/x
  3. Step 3: Cross multiply
    778,449x = 1,673,322 × 1,673,322
  4. Step 4: Simplify right side
    778,449x = 2,800,006,515,684
  5. Step 5: Solve for x
    x = 2,800,006,515,684/778,449
  6. Step 6: Final answer
    x = 3,596,904.25

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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.