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Finding the Third Proportional to 387,572 and 822,051

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Solution

The third proportional to 387,572 and 822,051 is: 1,743,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,572 : 822,051 = 822,051 : x
  2. Step 2: Convert to fraction form
    387,572/822,051 = 822,051/x
  3. Step 3: Cross multiply
    387,572x = 822,051 × 822,051
  4. Step 4: Simplify right side
    387,572x = 675,767,846,601
  5. Step 5: Solve for x
    x = 675,767,846,601/387,572
  6. Step 6: Final answer
    x = 1,743,593.05

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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.