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Finding the Third Proportional to 772,684 and 1,678,306

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Solution

The third proportional to 772,684 and 1,678,306 is: 3,645,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,684 : 1,678,306 = 1,678,306 : x
  2. Step 2: Convert to fraction form
    772,684/1,678,306 = 1,678,306/x
  3. Step 3: Cross multiply
    772,684x = 1,678,306 × 1,678,306
  4. Step 4: Simplify right side
    772,684x = 2,816,711,029,636
  5. Step 5: Solve for x
    x = 2,816,711,029,636/772,684
  6. Step 6: Final answer
    x = 3,645,359.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.