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Finding the Third Proportional to 524,145 and 1,146,438

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Solution

The third proportional to 524,145 and 1,146,438 is: 2,507,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,145 : 1,146,438 = 1,146,438 : x
  2. Step 2: Convert to fraction form
    524,145/1,146,438 = 1,146,438/x
  3. Step 3: Cross multiply
    524,145x = 1,146,438 × 1,146,438
  4. Step 4: Simplify right side
    524,145x = 1,314,320,087,844
  5. Step 5: Solve for x
    x = 1,314,320,087,844/524,145
  6. Step 6: Final answer
    x = 2,507,550.56

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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.