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Finding the Third Proportional to 538,237 and 1,268,776

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Solution

The third proportional to 538,237 and 1,268,776 is: 2,990,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,237 : 1,268,776 = 1,268,776 : x
  2. Step 2: Convert to fraction form
    538,237/1,268,776 = 1,268,776/x
  3. Step 3: Cross multiply
    538,237x = 1,268,776 × 1,268,776
  4. Step 4: Simplify right side
    538,237x = 1,609,792,538,176
  5. Step 5: Solve for x
    x = 1,609,792,538,176/538,237
  6. Step 6: Final answer
    x = 2,990,861.90

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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.