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Finding the Third Proportional to 537,915 and 1,267,989

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Solution

The third proportional to 537,915 and 1,267,989 is: 2,988,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,915 : 1,267,989 = 1,267,989 : x
  2. Step 2: Convert to fraction form
    537,915/1,267,989 = 1,267,989/x
  3. Step 3: Cross multiply
    537,915x = 1,267,989 × 1,267,989
  4. Step 4: Simplify right side
    537,915x = 1,607,796,104,121
  5. Step 5: Solve for x
    x = 1,607,796,104,121/537,915
  6. Step 6: Final answer
    x = 2,988,940.83

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Why These Related Problems?

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