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Finding the Third Proportional to 1,083,598.50 and 2,372,734.50

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Solution

The third proportional to 1,083,598.50 and 2,372,734.50 is: 5,195,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,598.50 : 2,372,734.50 = 2,372,734.50 : x
  2. Step 2: Convert to fraction form
    1,083,598.50/2,372,734.50 = 2,372,734.50/x
  3. Step 3: Cross multiply
    1,083,598.50x = 2,372,734.50 × 2,372,734.50
  4. Step 4: Simplify right side
    1,083,598.50x = 5,629,869,007,490.25
  5. Step 5: Solve for x
    x = 5,629,869,007,490.25/1,083,598.50
  6. Step 6: Final answer
    x = 5,195,530.45

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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.