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Finding the Third Proportional to 546,336 and 827,121

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Solution

The third proportional to 546,336 and 827,121 is: 1,252,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,336 : 827,121 = 827,121 : x
  2. Step 2: Convert to fraction form
    546,336/827,121 = 827,121/x
  3. Step 3: Cross multiply
    546,336x = 827,121 × 827,121
  4. Step 4: Simplify right side
    546,336x = 684,129,148,641
  5. Step 5: Solve for x
    x = 684,129,148,641/546,336
  6. Step 6: Final answer
    x = 1,252,213.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.