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Finding the Third Proportional to 540,180 and 1,160,423

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Solution

The third proportional to 540,180 and 1,160,423 is: 2,492,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,180 : 1,160,423 = 1,160,423 : x
  2. Step 2: Convert to fraction form
    540,180/1,160,423 = 1,160,423/x
  3. Step 3: Cross multiply
    540,180x = 1,160,423 × 1,160,423
  4. Step 4: Simplify right side
    540,180x = 1,346,581,538,929
  5. Step 5: Solve for x
    x = 1,346,581,538,929/540,180
  6. Step 6: Final answer
    x = 2,492,838.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.