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Finding the Third Proportional to 537,912 and 1,267,984

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Solution

The third proportional to 537,912 and 1,267,984 is: 2,988,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,912 : 1,267,984 = 1,267,984 : x
  2. Step 2: Convert to fraction form
    537,912/1,267,984 = 1,267,984/x
  3. Step 3: Cross multiply
    537,912x = 1,267,984 × 1,267,984
  4. Step 4: Simplify right side
    537,912x = 1,607,783,424,256
  5. Step 5: Solve for x
    x = 1,607,783,424,256/537,912
  6. Step 6: Final answer
    x = 2,988,933.92

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.