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Finding the Third Proportional to 572,412 and 1,243,232

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Solution

The third proportional to 572,412 and 1,243,232 is: 2,700,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,412 : 1,243,232 = 1,243,232 : x
  2. Step 2: Convert to fraction form
    572,412/1,243,232 = 1,243,232/x
  3. Step 3: Cross multiply
    572,412x = 1,243,232 × 1,243,232
  4. Step 4: Simplify right side
    572,412x = 1,545,625,805,824
  5. Step 5: Solve for x
    x = 1,545,625,805,824/572,412
  6. Step 6: Final answer
    x = 2,700,198.12

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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.