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Finding the Third Proportional to 524,809.13 and 1,082,742.19

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Solution

The third proportional to 524,809.13 and 1,082,742.19 is: 2,233,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,809.13 : 1,082,742.19 = 1,082,742.19 : x
  2. Step 2: Convert to fraction form
    524,809.13/1,082,742.19 = 1,082,742.19/x
  3. Step 3: Cross multiply
    524,809.13x = 1,082,742.19 × 1,082,742.19
  4. Step 4: Simplify right side
    524,809.13x = 1,172,330,644,592.29
  5. Step 5: Solve for x
    x = 1,172,330,644,592.29/524,809.13
  6. Step 6: Final answer
    x = 2,233,822.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.