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Finding the Third Proportional to 1,001,984 and 2,363,939

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Solution

The third proportional to 1,001,984 and 2,363,939 is: 5,577,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,984 : 2,363,939 = 2,363,939 : x
  2. Step 2: Convert to fraction form
    1,001,984/2,363,939 = 2,363,939/x
  3. Step 3: Cross multiply
    1,001,984x = 2,363,939 × 2,363,939
  4. Step 4: Simplify right side
    1,001,984x = 5,588,207,595,721
  5. Step 5: Solve for x
    x = 5,588,207,595,721/1,001,984
  6. Step 6: Final answer
    x = 5,577,142.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.