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Finding the Third Proportional to 524,750 and 1,159,762

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Solution

The third proportional to 524,750 and 1,159,762 is: 2,563,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,750 : 1,159,762 = 1,159,762 : x
  2. Step 2: Convert to fraction form
    524,750/1,159,762 = 1,159,762/x
  3. Step 3: Cross multiply
    524,750x = 1,159,762 × 1,159,762
  4. Step 4: Simplify right side
    524,750x = 1,345,047,896,644
  5. Step 5: Solve for x
    x = 1,345,047,896,644/524,750
  6. Step 6: Final answer
    x = 2,563,216.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.