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Finding the Third Proportional to 463,521 and 1,116,279

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Solution

The third proportional to 463,521 and 1,116,279 is: 2,688,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,521 : 1,116,279 = 1,116,279 : x
  2. Step 2: Convert to fraction form
    463,521/1,116,279 = 1,116,279/x
  3. Step 3: Cross multiply
    463,521x = 1,116,279 × 1,116,279
  4. Step 4: Simplify right side
    463,521x = 1,246,078,805,841
  5. Step 5: Solve for x
    x = 1,246,078,805,841/463,521
  6. Step 6: Final answer
    x = 2,688,289.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.