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Finding the Third Proportional to 523,215 and 1,108,689.75

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Solution

The third proportional to 523,215 and 1,108,689.75 is: 2,349,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,215 : 1,108,689.75 = 1,108,689.75 : x
  2. Step 2: Convert to fraction form
    523,215/1,108,689.75 = 1,108,689.75/x
  3. Step 3: Cross multiply
    523,215x = 1,108,689.75 × 1,108,689.75
  4. Step 4: Simplify right side
    523,215x = 1,229,192,961,755.06
  5. Step 5: Solve for x
    x = 1,229,192,961,755.06/523,215
  6. Step 6: Final answer
    x = 2,349,307.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.