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Finding the Third Proportional to 667,754 and 1,574,733

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Solution

The third proportional to 667,754 and 1,574,733 is: 3,713,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,754 : 1,574,733 = 1,574,733 : x
  2. Step 2: Convert to fraction form
    667,754/1,574,733 = 1,574,733/x
  3. Step 3: Cross multiply
    667,754x = 1,574,733 × 1,574,733
  4. Step 4: Simplify right side
    667,754x = 2,479,784,021,289
  5. Step 5: Solve for x
    x = 2,479,784,021,289/667,754
  6. Step 6: Final answer
    x = 3,713,619.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.