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Finding the Third Proportional to 778,976 and 1,702,144

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Solution

The third proportional to 778,976 and 1,702,144 is: 3,719,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,976 : 1,702,144 = 1,702,144 : x
  2. Step 2: Convert to fraction form
    778,976/1,702,144 = 1,702,144/x
  3. Step 3: Cross multiply
    778,976x = 1,702,144 × 1,702,144
  4. Step 4: Simplify right side
    778,976x = 2,897,294,196,736
  5. Step 5: Solve for x
    x = 2,897,294,196,736/778,976
  6. Step 6: Final answer
    x = 3,719,362.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.