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Finding the Third Proportional to 778,803 and 1,673,949

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Solution

The third proportional to 778,803 and 1,673,949 is: 3,597,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,803 : 1,673,949 = 1,673,949 : x
  2. Step 2: Convert to fraction form
    778,803/1,673,949 = 1,673,949/x
  3. Step 3: Cross multiply
    778,803x = 1,673,949 × 1,673,949
  4. Step 4: Simplify right side
    778,803x = 2,802,105,254,601
  5. Step 5: Solve for x
    x = 2,802,105,254,601/778,803
  6. Step 6: Final answer
    x = 3,597,964.13

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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.