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Finding the Third Proportional to 572,216 and 1,231,696

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Solution

The third proportional to 572,216 and 1,231,696 is: 2,651,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,216 : 1,231,696 = 1,231,696 : x
  2. Step 2: Convert to fraction form
    572,216/1,231,696 = 1,231,696/x
  3. Step 3: Cross multiply
    572,216x = 1,231,696 × 1,231,696
  4. Step 4: Simplify right side
    572,216x = 1,517,075,036,416
  5. Step 5: Solve for x
    x = 1,517,075,036,416/572,216
  6. Step 6: Final answer
    x = 2,651,227.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.