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Finding the Third Proportional to 726,767.44 and 1,018,420.59

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Solution

The third proportional to 726,767.44 and 1,018,420.59 is: 1,427,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,767.44 : 1,018,420.59 = 1,018,420.59 : x
  2. Step 2: Convert to fraction form
    726,767.44/1,018,420.59 = 1,018,420.59/x
  3. Step 3: Cross multiply
    726,767.44x = 1,018,420.59 × 1,018,420.59
  4. Step 4: Simplify right side
    726,767.44x = 1,037,180,505,774.10
  5. Step 5: Solve for x
    x = 1,037,180,505,774.10/726,767.44
  6. Step 6: Final answer
    x = 1,427,114.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.