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Finding the Third Proportional to 546,864 and 856,137

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Solution

The third proportional to 546,864 and 856,137 is: 1,340,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,864 : 856,137 = 856,137 : x
  2. Step 2: Convert to fraction form
    546,864/856,137 = 856,137/x
  3. Step 3: Cross multiply
    546,864x = 856,137 × 856,137
  4. Step 4: Simplify right side
    546,864x = 732,970,562,769
  5. Step 5: Solve for x
    x = 732,970,562,769/546,864
  6. Step 6: Final answer
    x = 1,340,315.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.