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Finding the Third Proportional to 524,023 and 1,122,754

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Solution

The third proportional to 524,023 and 1,122,754 is: 2,405,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,023 : 1,122,754 = 1,122,754 : x
  2. Step 2: Convert to fraction form
    524,023/1,122,754 = 1,122,754/x
  3. Step 3: Cross multiply
    524,023x = 1,122,754 × 1,122,754
  4. Step 4: Simplify right side
    524,023x = 1,260,576,544,516
  5. Step 5: Solve for x
    x = 1,260,576,544,516/524,023
  6. Step 6: Final answer
    x = 2,405,574.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.