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Finding the Third Proportional to 627,140 and 1,354,900

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Solution

The third proportional to 627,140 and 1,354,900 is: 2,927,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,140 : 1,354,900 = 1,354,900 : x
  2. Step 2: Convert to fraction form
    627,140/1,354,900 = 1,354,900/x
  3. Step 3: Cross multiply
    627,140x = 1,354,900 × 1,354,900
  4. Step 4: Simplify right side
    627,140x = 1,835,754,010,000
  5. Step 5: Solve for x
    x = 1,835,754,010,000/627,140
  6. Step 6: Final answer
    x = 2,927,183.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.