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Finding the Third Proportional to 653,878 and 1,378,746

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Solution

The third proportional to 653,878 and 1,378,746 is: 2,907,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,878 : 1,378,746 = 1,378,746 : x
  2. Step 2: Convert to fraction form
    653,878/1,378,746 = 1,378,746/x
  3. Step 3: Cross multiply
    653,878x = 1,378,746 × 1,378,746
  4. Step 4: Simplify right side
    653,878x = 1,900,940,532,516
  5. Step 5: Solve for x
    x = 1,900,940,532,516/653,878
  6. Step 6: Final answer
    x = 2,907,179.22

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.