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Finding the Third Proportional to 546,636 and 1,200,894

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Solution

The third proportional to 546,636 and 1,200,894 is: 2,638,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,636 : 1,200,894 = 1,200,894 : x
  2. Step 2: Convert to fraction form
    546,636/1,200,894 = 1,200,894/x
  3. Step 3: Cross multiply
    546,636x = 1,200,894 × 1,200,894
  4. Step 4: Simplify right side
    546,636x = 1,442,146,399,236
  5. Step 5: Solve for x
    x = 1,442,146,399,236/546,636
  6. Step 6: Final answer
    x = 2,638,220.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.