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Finding the Third Proportional to 546,109 and 854,803

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Solution

The third proportional to 546,109 and 854,803 is: 1,337,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,109 : 854,803 = 854,803 : x
  2. Step 2: Convert to fraction form
    546,109/854,803 = 854,803/x
  3. Step 3: Cross multiply
    546,109x = 854,803 × 854,803
  4. Step 4: Simplify right side
    546,109x = 730,688,168,809
  5. Step 5: Solve for x
    x = 730,688,168,809/546,109
  6. Step 6: Final answer
    x = 1,337,989.61

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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.