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Finding the Third Proportional to 1,018,523 and 2,120,722

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Solution

The third proportional to 1,018,523 and 2,120,722 is: 4,415,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,523 : 2,120,722 = 2,120,722 : x
  2. Step 2: Convert to fraction form
    1,018,523/2,120,722 = 2,120,722/x
  3. Step 3: Cross multiply
    1,018,523x = 2,120,722 × 2,120,722
  4. Step 4: Simplify right side
    1,018,523x = 4,497,461,801,284
  5. Step 5: Solve for x
    x = 4,497,461,801,284/1,018,523
  6. Step 6: Final answer
    x = 4,415,670.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.