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Finding the Third Proportional to 749,764 and 1,619,264

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Solution

The third proportional to 749,764 and 1,619,264 is: 3,497,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,764 : 1,619,264 = 1,619,264 : x
  2. Step 2: Convert to fraction form
    749,764/1,619,264 = 1,619,264/x
  3. Step 3: Cross multiply
    749,764x = 1,619,264 × 1,619,264
  4. Step 4: Simplify right side
    749,764x = 2,622,015,901,696
  5. Step 5: Solve for x
    x = 2,622,015,901,696/749,764
  6. Step 6: Final answer
    x = 3,497,121.63

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