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Finding the Third Proportional to 546,356 and 827,151

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Solution

The third proportional to 546,356 and 827,151 is: 1,252,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,356 : 827,151 = 827,151 : x
  2. Step 2: Convert to fraction form
    546,356/827,151 = 827,151/x
  3. Step 3: Cross multiply
    546,356x = 827,151 × 827,151
  4. Step 4: Simplify right side
    546,356x = 684,178,776,801
  5. Step 5: Solve for x
    x = 684,178,776,801/546,356
  6. Step 6: Final answer
    x = 1,252,258.19

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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.