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Finding the Third Proportional to 647,963 and 1,439,741

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Solution

The third proportional to 647,963 and 1,439,741 is: 3,199,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,963 : 1,439,741 = 1,439,741 : x
  2. Step 2: Convert to fraction form
    647,963/1,439,741 = 1,439,741/x
  3. Step 3: Cross multiply
    647,963x = 1,439,741 × 1,439,741
  4. Step 4: Simplify right side
    647,963x = 2,072,854,147,081
  5. Step 5: Solve for x
    x = 2,072,854,147,081/647,963
  6. Step 6: Final answer
    x = 3,199,031.65

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.