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Finding the Third Proportional to 541,106 and 856,781

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Solution

The third proportional to 541,106 and 856,781 is: 1,356,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,106 : 856,781 = 856,781 : x
  2. Step 2: Convert to fraction form
    541,106/856,781 = 856,781/x
  3. Step 3: Cross multiply
    541,106x = 856,781 × 856,781
  4. Step 4: Simplify right side
    541,106x = 734,073,681,961
  5. Step 5: Solve for x
    x = 734,073,681,961/541,106
  6. Step 6: Final answer
    x = 1,356,617.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.