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Finding the Third Proportional to 558,064 and 1,211,262

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Solution

The third proportional to 558,064 and 1,211,262 is: 2,629,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,064 : 1,211,262 = 1,211,262 : x
  2. Step 2: Convert to fraction form
    558,064/1,211,262 = 1,211,262/x
  3. Step 3: Cross multiply
    558,064x = 1,211,262 × 1,211,262
  4. Step 4: Simplify right side
    558,064x = 1,467,155,632,644
  5. Step 5: Solve for x
    x = 1,467,155,632,644/558,064
  6. Step 6: Final answer
    x = 2,629,009.63

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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.