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Finding the Third Proportional to 757,971 and 1,620,972

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Solution

The third proportional to 757,971 and 1,620,972 is: 3,466,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,971 : 1,620,972 = 1,620,972 : x
  2. Step 2: Convert to fraction form
    757,971/1,620,972 = 1,620,972/x
  3. Step 3: Cross multiply
    757,971x = 1,620,972 × 1,620,972
  4. Step 4: Simplify right side
    757,971x = 2,627,550,224,784
  5. Step 5: Solve for x
    x = 2,627,550,224,784/757,971
  6. Step 6: Final answer
    x = 3,466,557.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.