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Finding the Third Proportional to 546,658 and 1,200,938

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Solution

The third proportional to 546,658 and 1,200,938 is: 2,638,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,658 : 1,200,938 = 1,200,938 : x
  2. Step 2: Convert to fraction form
    546,658/1,200,938 = 1,200,938/x
  3. Step 3: Cross multiply
    546,658x = 1,200,938 × 1,200,938
  4. Step 4: Simplify right side
    546,658x = 1,442,252,079,844
  5. Step 5: Solve for x
    x = 1,442,252,079,844/546,658
  6. Step 6: Final answer
    x = 2,638,307.83

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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.