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Finding the Third Proportional to 506,862 and 1,097,376

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Solution

The third proportional to 506,862 and 1,097,376 is: 2,375,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,862 : 1,097,376 = 1,097,376 : x
  2. Step 2: Convert to fraction form
    506,862/1,097,376 = 1,097,376/x
  3. Step 3: Cross multiply
    506,862x = 1,097,376 × 1,097,376
  4. Step 4: Simplify right side
    506,862x = 1,204,234,085,376
  5. Step 5: Solve for x
    x = 1,204,234,085,376/506,862
  6. Step 6: Final answer
    x = 2,375,861.84

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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.