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Finding the Third Proportional to 524,645 and 1,129,557

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Solution

The third proportional to 524,645 and 1,129,557 is: 2,431,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,645 : 1,129,557 = 1,129,557 : x
  2. Step 2: Convert to fraction form
    524,645/1,129,557 = 1,129,557/x
  3. Step 3: Cross multiply
    524,645x = 1,129,557 × 1,129,557
  4. Step 4: Simplify right side
    524,645x = 1,275,899,016,249
  5. Step 5: Solve for x
    x = 1,275,899,016,249/524,645
  6. Step 6: Final answer
    x = 2,431,928.29

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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.