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Finding the Third Proportional to 509,226 and 1,116,381

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Solution

The third proportional to 509,226 and 1,116,381 is: 2,447,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,226 : 1,116,381 = 1,116,381 : x
  2. Step 2: Convert to fraction form
    509,226/1,116,381 = 1,116,381/x
  3. Step 3: Cross multiply
    509,226x = 1,116,381 × 1,116,381
  4. Step 4: Simplify right side
    509,226x = 1,246,306,537,161
  5. Step 5: Solve for x
    x = 1,246,306,537,161/509,226
  6. Step 6: Final answer
    x = 2,447,452.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.