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Finding the Third Proportional to 572,438 and 1,243,204

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Solution

The third proportional to 572,438 and 1,243,204 is: 2,699,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,438 : 1,243,204 = 1,243,204 : x
  2. Step 2: Convert to fraction form
    572,438/1,243,204 = 1,243,204/x
  3. Step 3: Cross multiply
    572,438x = 1,243,204 × 1,243,204
  4. Step 4: Simplify right side
    572,438x = 1,545,556,185,616
  5. Step 5: Solve for x
    x = 1,545,556,185,616/572,438
  6. Step 6: Final answer
    x = 2,699,953.86

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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.