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Finding the Third Proportional to 545,438 and 1,187,014

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Solution

The third proportional to 545,438 and 1,187,014 is: 2,583,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,438 : 1,187,014 = 1,187,014 : x
  2. Step 2: Convert to fraction form
    545,438/1,187,014 = 1,187,014/x
  3. Step 3: Cross multiply
    545,438x = 1,187,014 × 1,187,014
  4. Step 4: Simplify right side
    545,438x = 1,409,002,236,196
  5. Step 5: Solve for x
    x = 1,409,002,236,196/545,438
  6. Step 6: Final answer
    x = 2,583,249.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.