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Finding the Third Proportional to 778,836 and 1,674,015

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Solution

The third proportional to 778,836 and 1,674,015 is: 3,598,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,836 : 1,674,015 = 1,674,015 : x
  2. Step 2: Convert to fraction form
    778,836/1,674,015 = 1,674,015/x
  3. Step 3: Cross multiply
    778,836x = 1,674,015 × 1,674,015
  4. Step 4: Simplify right side
    778,836x = 2,802,326,220,225
  5. Step 5: Solve for x
    x = 2,802,326,220,225/778,836
  6. Step 6: Final answer
    x = 3,598,095.39

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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.