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Finding the Third Proportional to 541,107 and 856,783

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Solution

The third proportional to 541,107 and 856,783 is: 1,356,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,107 : 856,783 = 856,783 : x
  2. Step 2: Convert to fraction form
    541,107/856,783 = 856,783/x
  3. Step 3: Cross multiply
    541,107x = 856,783 × 856,783
  4. Step 4: Simplify right side
    541,107x = 734,077,109,089
  5. Step 5: Solve for x
    x = 734,077,109,089/541,107
  6. Step 6: Final answer
    x = 1,356,620.98

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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.