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Finding the Third Proportional to 646,812 and 1,376,455.50

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Solution

The third proportional to 646,812 and 1,376,455.50 is: 2,929,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,812 : 1,376,455.50 = 1,376,455.50 : x
  2. Step 2: Convert to fraction form
    646,812/1,376,455.50 = 1,376,455.50/x
  3. Step 3: Cross multiply
    646,812x = 1,376,455.50 × 1,376,455.50
  4. Step 4: Simplify right side
    646,812x = 1,894,629,743,480.25
  5. Step 5: Solve for x
    x = 1,894,629,743,480.25/646,812
  6. Step 6: Final answer
    x = 2,929,181.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.