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Finding the Third Proportional to 482,218.31 and 1,037,019.38

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Solution

The third proportional to 482,218.31 and 1,037,019.38 is: 2,230,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,218.31 : 1,037,019.38 = 1,037,019.38 : x
  2. Step 2: Convert to fraction form
    482,218.31/1,037,019.38 = 1,037,019.38/x
  3. Step 3: Cross multiply
    482,218.31x = 1,037,019.38 × 1,037,019.38
  4. Step 4: Simplify right side
    482,218.31x = 1,075,409,184,125.39
  5. Step 5: Solve for x
    x = 1,075,409,184,125.39/482,218.31
  6. Step 6: Final answer
    x = 2,230,129.29

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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.