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Finding the Third Proportional to 631,004 and 1,368,472

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Solution

The third proportional to 631,004 and 1,368,472 is: 2,967,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,004 : 1,368,472 = 1,368,472 : x
  2. Step 2: Convert to fraction form
    631,004/1,368,472 = 1,368,472/x
  3. Step 3: Cross multiply
    631,004x = 1,368,472 × 1,368,472
  4. Step 4: Simplify right side
    631,004x = 1,872,715,614,784
  5. Step 5: Solve for x
    x = 1,872,715,614,784/631,004
  6. Step 6: Final answer
    x = 2,967,834.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.