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Finding the Third Proportional to 522,926 and 1,108,638

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Solution

The third proportional to 522,926 and 1,108,638 is: 2,350,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,926 : 1,108,638 = 1,108,638 : x
  2. Step 2: Convert to fraction form
    522,926/1,108,638 = 1,108,638/x
  3. Step 3: Cross multiply
    522,926x = 1,108,638 × 1,108,638
  4. Step 4: Simplify right side
    522,926x = 1,229,078,215,044
  5. Step 5: Solve for x
    x = 1,229,078,215,044/522,926
  6. Step 6: Final answer
    x = 2,350,386.51

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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.