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Finding the Third Proportional to 968,760 and 1,453,464

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Solution

The third proportional to 968,760 and 1,453,464 is: 2,180,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,760 : 1,453,464 = 1,453,464 : x
  2. Step 2: Convert to fraction form
    968,760/1,453,464 = 1,453,464/x
  3. Step 3: Cross multiply
    968,760x = 1,453,464 × 1,453,464
  4. Step 4: Simplify right side
    968,760x = 2,112,557,599,296
  5. Step 5: Solve for x
    x = 2,112,557,599,296/968,760
  6. Step 6: Final answer
    x = 2,180,682.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.