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Finding the Third Proportional to 2,031,924 and 4,441,650

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Solution

The third proportional to 2,031,924 and 4,441,650 is: 9,709,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,924 : 4,441,650 = 4,441,650 : x
  2. Step 2: Convert to fraction form
    2,031,924/4,441,650 = 4,441,650/x
  3. Step 3: Cross multiply
    2,031,924x = 4,441,650 × 4,441,650
  4. Step 4: Simplify right side
    2,031,924x = 19,728,254,722,500
  5. Step 5: Solve for x
    x = 19,728,254,722,500/2,031,924
  6. Step 6: Final answer
    x = 9,709,149.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.