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Finding the Third Proportional to 1,274,970 and 2,774,250

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Solution

The third proportional to 1,274,970 and 2,774,250 is: 6,036,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,970 : 2,774,250 = 2,774,250 : x
  2. Step 2: Convert to fraction form
    1,274,970/2,774,250 = 2,774,250/x
  3. Step 3: Cross multiply
    1,274,970x = 2,774,250 × 2,774,250
  4. Step 4: Simplify right side
    1,274,970x = 7,696,463,062,500
  5. Step 5: Solve for x
    x = 7,696,463,062,500/1,274,970
  6. Step 6: Final answer
    x = 6,036,583.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.