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Finding the Third Proportional to 524,017 and 1,122,743

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Solution

The third proportional to 524,017 and 1,122,743 is: 2,405,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,017 : 1,122,743 = 1,122,743 : x
  2. Step 2: Convert to fraction form
    524,017/1,122,743 = 1,122,743/x
  3. Step 3: Cross multiply
    524,017x = 1,122,743 × 1,122,743
  4. Step 4: Simplify right side
    524,017x = 1,260,551,844,049
  5. Step 5: Solve for x
    x = 1,260,551,844,049/524,017
  6. Step 6: Final answer
    x = 2,405,555.25

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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.