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Finding the Third Proportional to 858,276 and 1,830,519

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Solution

The third proportional to 858,276 and 1,830,519 is: 3,904,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,276 : 1,830,519 = 1,830,519 : x
  2. Step 2: Convert to fraction form
    858,276/1,830,519 = 1,830,519/x
  3. Step 3: Cross multiply
    858,276x = 1,830,519 × 1,830,519
  4. Step 4: Simplify right side
    858,276x = 3,350,799,809,361
  5. Step 5: Solve for x
    x = 3,350,799,809,361/858,276
  6. Step 6: Final answer
    x = 3,904,105.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.