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Finding the Third Proportional to 546,545 and 827,441

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Solution

The third proportional to 546,545 and 827,441 is: 1,252,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,545 : 827,441 = 827,441 : x
  2. Step 2: Convert to fraction form
    546,545/827,441 = 827,441/x
  3. Step 3: Cross multiply
    546,545x = 827,441 × 827,441
  4. Step 4: Simplify right side
    546,545x = 684,658,608,481
  5. Step 5: Solve for x
    x = 684,658,608,481/546,545
  6. Step 6: Final answer
    x = 1,252,703.09

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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.