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Finding the Third Proportional to 572,393 and 1,243,194

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Solution

The third proportional to 572,393 and 1,243,194 is: 2,700,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,393 : 1,243,194 = 1,243,194 : x
  2. Step 2: Convert to fraction form
    572,393/1,243,194 = 1,243,194/x
  3. Step 3: Cross multiply
    572,393x = 1,243,194 × 1,243,194
  4. Step 4: Simplify right side
    572,393x = 1,545,531,321,636
  5. Step 5: Solve for x
    x = 1,545,531,321,636/572,393
  6. Step 6: Final answer
    x = 2,700,122.68

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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.