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Finding the Third Proportional to 778,833 and 1,674,009

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Solution

The third proportional to 778,833 and 1,674,009 is: 3,598,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,833 : 1,674,009 = 1,674,009 : x
  2. Step 2: Convert to fraction form
    778,833/1,674,009 = 1,674,009/x
  3. Step 3: Cross multiply
    778,833x = 1,674,009 × 1,674,009
  4. Step 4: Simplify right side
    778,833x = 2,802,306,132,081
  5. Step 5: Solve for x
    x = 2,802,306,132,081/778,833
  6. Step 6: Final answer
    x = 3,598,083.46

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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.