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Finding the Third Proportional to 1,680,938 and 2,523,127

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Solution

The third proportional to 1,680,938 and 2,523,127 is: 3,787,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,938 : 2,523,127 = 2,523,127 : x
  2. Step 2: Convert to fraction form
    1,680,938/2,523,127 = 2,523,127/x
  3. Step 3: Cross multiply
    1,680,938x = 2,523,127 × 2,523,127
  4. Step 4: Simplify right side
    1,680,938x = 6,366,169,858,129
  5. Step 5: Solve for x
    x = 6,366,169,858,129/1,680,938
  6. Step 6: Final answer
    x = 3,787,272.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.