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Finding the Third Proportional to 827,071 and 1,791,543

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Solution

The third proportional to 827,071 and 1,791,543 is: 3,880,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,071 : 1,791,543 = 1,791,543 : x
  2. Step 2: Convert to fraction form
    827,071/1,791,543 = 1,791,543/x
  3. Step 3: Cross multiply
    827,071x = 1,791,543 × 1,791,543
  4. Step 4: Simplify right side
    827,071x = 3,209,626,320,849
  5. Step 5: Solve for x
    x = 3,209,626,320,849/827,071
  6. Step 6: Final answer
    x = 3,880,714.38

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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.