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Finding the Third Proportional to 512,840 and 1,122,196

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Solution

The third proportional to 512,840 and 1,122,196 is: 2,455,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,840 : 1,122,196 = 1,122,196 : x
  2. Step 2: Convert to fraction form
    512,840/1,122,196 = 1,122,196/x
  3. Step 3: Cross multiply
    512,840x = 1,122,196 × 1,122,196
  4. Step 4: Simplify right side
    512,840x = 1,259,323,862,416
  5. Step 5: Solve for x
    x = 1,259,323,862,416/512,840
  6. Step 6: Final answer
    x = 2,455,588.22

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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.