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Finding the Third Proportional to 572,051 and 1,256,125

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Solution

The third proportional to 572,051 and 1,256,125 is: 2,758,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,051 : 1,256,125 = 1,256,125 : x
  2. Step 2: Convert to fraction form
    572,051/1,256,125 = 1,256,125/x
  3. Step 3: Cross multiply
    572,051x = 1,256,125 × 1,256,125
  4. Step 4: Simplify right side
    572,051x = 1,577,850,015,625
  5. Step 5: Solve for x
    x = 1,577,850,015,625/572,051
  6. Step 6: Final answer
    x = 2,758,233.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.