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Finding the Third Proportional to 543,498 and 1,180,650

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Solution

The third proportional to 543,498 and 1,180,650 is: 2,564,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,498 : 1,180,650 = 1,180,650 : x
  2. Step 2: Convert to fraction form
    543,498/1,180,650 = 1,180,650/x
  3. Step 3: Cross multiply
    543,498x = 1,180,650 × 1,180,650
  4. Step 4: Simplify right side
    543,498x = 1,393,934,422,500
  5. Step 5: Solve for x
    x = 1,393,934,422,500/543,498
  6. Step 6: Final answer
    x = 2,564,746.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.