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Finding the Third Proportional to 598,746 and 1,264,926

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Solution

The third proportional to 598,746 and 1,264,926 is: 2,672,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,746 : 1,264,926 = 1,264,926 : x
  2. Step 2: Convert to fraction form
    598,746/1,264,926 = 1,264,926/x
  3. Step 3: Cross multiply
    598,746x = 1,264,926 × 1,264,926
  4. Step 4: Simplify right side
    598,746x = 1,600,037,785,476
  5. Step 5: Solve for x
    x = 1,600,037,785,476/598,746
  6. Step 6: Final answer
    x = 2,672,314.78

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Why These Related Problems?

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