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Finding the Third Proportional to 546,642 and 1,200,906

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Solution

The third proportional to 546,642 and 1,200,906 is: 2,638,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,642 : 1,200,906 = 1,200,906 : x
  2. Step 2: Convert to fraction form
    546,642/1,200,906 = 1,200,906/x
  3. Step 3: Cross multiply
    546,642x = 1,200,906 × 1,200,906
  4. Step 4: Simplify right side
    546,642x = 1,442,175,220,836
  5. Step 5: Solve for x
    x = 1,442,175,220,836/546,642
  6. Step 6: Final answer
    x = 2,638,244.45

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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.