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Finding the Third Proportional to 539,472 and 1,180,534

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Solution

The third proportional to 539,472 and 1,180,534 is: 2,583,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,472 : 1,180,534 = 1,180,534 : x
  2. Step 2: Convert to fraction form
    539,472/1,180,534 = 1,180,534/x
  3. Step 3: Cross multiply
    539,472x = 1,180,534 × 1,180,534
  4. Step 4: Simplify right side
    539,472x = 1,393,660,525,156
  5. Step 5: Solve for x
    x = 1,393,660,525,156/539,472
  6. Step 6: Final answer
    x = 2,583,378.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.