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Finding the Third Proportional to 778,930 and 1,619,778

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Solution

The third proportional to 778,930 and 1,619,778 is: 3,368,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,930 : 1,619,778 = 1,619,778 : x
  2. Step 2: Convert to fraction form
    778,930/1,619,778 = 1,619,778/x
  3. Step 3: Cross multiply
    778,930x = 1,619,778 × 1,619,778
  4. Step 4: Simplify right side
    778,930x = 2,623,680,769,284
  5. Step 5: Solve for x
    x = 2,623,680,769,284/778,930
  6. Step 6: Final answer
    x = 3,368,313.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.