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Finding the Third Proportional to 778,539 and 1,673,472

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Solution

The third proportional to 778,539 and 1,673,472 is: 3,597,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,539 : 1,673,472 = 1,673,472 : x
  2. Step 2: Convert to fraction form
    778,539/1,673,472 = 1,673,472/x
  3. Step 3: Cross multiply
    778,539x = 1,673,472 × 1,673,472
  4. Step 4: Simplify right side
    778,539x = 2,800,508,534,784
  5. Step 5: Solve for x
    x = 2,800,508,534,784/778,539
  6. Step 6: Final answer
    x = 3,597,133.26

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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.