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Finding the Third Proportional to 524,704 and 1,125,856

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Solution

The third proportional to 524,704 and 1,125,856 is: 2,415,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,704 : 1,125,856 = 1,125,856 : x
  2. Step 2: Convert to fraction form
    524,704/1,125,856 = 1,125,856/x
  3. Step 3: Cross multiply
    524,704x = 1,125,856 × 1,125,856
  4. Step 4: Simplify right side
    524,704x = 1,267,551,732,736
  5. Step 5: Solve for x
    x = 1,267,551,732,736/524,704
  6. Step 6: Final answer
    x = 2,415,746.27

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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.