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Finding the Third Proportional to 1,076,992 and 1,689,627

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Solution

The third proportional to 1,076,992 and 1,689,627 is: 2,650,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,992 : 1,689,627 = 1,689,627 : x
  2. Step 2: Convert to fraction form
    1,076,992/1,689,627 = 1,689,627/x
  3. Step 3: Cross multiply
    1,076,992x = 1,689,627 × 1,689,627
  4. Step 4: Simplify right side
    1,076,992x = 2,854,839,399,129
  5. Step 5: Solve for x
    x = 2,854,839,399,129/1,076,992
  6. Step 6: Final answer
    x = 2,650,752.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.