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Finding the Third Proportional to 641,751 and 986,504

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Solution

The third proportional to 641,751 and 986,504 is: 1,516,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,751 : 986,504 = 986,504 : x
  2. Step 2: Convert to fraction form
    641,751/986,504 = 986,504/x
  3. Step 3: Cross multiply
    641,751x = 986,504 × 986,504
  4. Step 4: Simplify right side
    641,751x = 973,190,142,016
  5. Step 5: Solve for x
    x = 973,190,142,016/641,751
  6. Step 6: Final answer
    x = 1,516,460.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.