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Finding the Third Proportional to 774,770 and 1,678,222

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Solution

The third proportional to 774,770 and 1,678,222 is: 3,635,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,770 : 1,678,222 = 1,678,222 : x
  2. Step 2: Convert to fraction form
    774,770/1,678,222 = 1,678,222/x
  3. Step 3: Cross multiply
    774,770x = 1,678,222 × 1,678,222
  4. Step 4: Simplify right side
    774,770x = 2,816,429,081,284
  5. Step 5: Solve for x
    x = 2,816,429,081,284/774,770
  6. Step 6: Final answer
    x = 3,635,180.87

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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.