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Finding the Third Proportional to 565,893 and 1,236,726

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Solution

The third proportional to 565,893 and 1,236,726 is: 2,702,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,893 : 1,236,726 = 1,236,726 : x
  2. Step 2: Convert to fraction form
    565,893/1,236,726 = 1,236,726/x
  3. Step 3: Cross multiply
    565,893x = 1,236,726 × 1,236,726
  4. Step 4: Simplify right side
    565,893x = 1,529,491,199,076
  5. Step 5: Solve for x
    x = 1,529,491,199,076/565,893
  6. Step 6: Final answer
    x = 2,702,792.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.