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Finding the Third Proportional to 565,383 and 1,228,926

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Solution

The third proportional to 565,383 and 1,228,926 is: 2,671,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,383 : 1,228,926 = 1,228,926 : x
  2. Step 2: Convert to fraction form
    565,383/1,228,926 = 1,228,926/x
  3. Step 3: Cross multiply
    565,383x = 1,228,926 × 1,228,926
  4. Step 4: Simplify right side
    565,383x = 1,510,259,113,476
  5. Step 5: Solve for x
    x = 1,510,259,113,476/565,383
  6. Step 6: Final answer
    x = 2,671,214.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.