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Finding the Third Proportional to 537,907.50 and 1,267,974

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Solution

The third proportional to 537,907.50 and 1,267,974 is: 2,988,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,907.50 : 1,267,974 = 1,267,974 : x
  2. Step 2: Convert to fraction form
    537,907.50/1,267,974 = 1,267,974/x
  3. Step 3: Cross multiply
    537,907.50x = 1,267,974 × 1,267,974
  4. Step 4: Simplify right side
    537,907.50x = 1,607,758,064,676
  5. Step 5: Solve for x
    x = 1,607,758,064,676/537,907.50
  6. Step 6: Final answer
    x = 2,988,911.78

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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.