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Finding the Third Proportional to 524,876 and 1,071,897

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Solution

The third proportional to 524,876 and 1,071,897 is: 2,189,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,876 : 1,071,897 = 1,071,897 : x
  2. Step 2: Convert to fraction form
    524,876/1,071,897 = 1,071,897/x
  3. Step 3: Cross multiply
    524,876x = 1,071,897 × 1,071,897
  4. Step 4: Simplify right side
    524,876x = 1,148,963,178,609
  5. Step 5: Solve for x
    x = 1,148,963,178,609/524,876
  6. Step 6: Final answer
    x = 2,189,018.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.