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Finding the Third Proportional to 543,537 and 1,152,846

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Solution

The third proportional to 543,537 and 1,152,846 is: 2,445,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,537 : 1,152,846 = 1,152,846 : x
  2. Step 2: Convert to fraction form
    543,537/1,152,846 = 1,152,846/x
  3. Step 3: Cross multiply
    543,537x = 1,152,846 × 1,152,846
  4. Step 4: Simplify right side
    543,537x = 1,329,053,899,716
  5. Step 5: Solve for x
    x = 1,329,053,899,716/543,537
  6. Step 6: Final answer
    x = 2,445,194.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.