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Finding the Third Proportional to 633,509 and 1,366,041

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Solution

The third proportional to 633,509 and 1,366,041 is: 2,945,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,509 : 1,366,041 = 1,366,041 : x
  2. Step 2: Convert to fraction form
    633,509/1,366,041 = 1,366,041/x
  3. Step 3: Cross multiply
    633,509x = 1,366,041 × 1,366,041
  4. Step 4: Simplify right side
    633,509x = 1,866,068,013,681
  5. Step 5: Solve for x
    x = 1,866,068,013,681/633,509
  6. Step 6: Final answer
    x = 2,945,606.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.