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Finding the Third Proportional to 774,774 and 1,678,230

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Solution

The third proportional to 774,774 and 1,678,230 is: 3,635,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,774 : 1,678,230 = 1,678,230 : x
  2. Step 2: Convert to fraction form
    774,774/1,678,230 = 1,678,230/x
  3. Step 3: Cross multiply
    774,774x = 1,678,230 × 1,678,230
  4. Step 4: Simplify right side
    774,774x = 2,816,455,932,900
  5. Step 5: Solve for x
    x = 2,816,455,932,900/774,774
  6. Step 6: Final answer
    x = 3,635,196.76

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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.