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Finding the Third Proportional to 2,054,032 and 4,432,831

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Solution

The third proportional to 2,054,032 and 4,432,831 is: 9,566,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,032 : 4,432,831 = 4,432,831 : x
  2. Step 2: Convert to fraction form
    2,054,032/4,432,831 = 4,432,831/x
  3. Step 3: Cross multiply
    2,054,032x = 4,432,831 × 4,432,831
  4. Step 4: Simplify right side
    2,054,032x = 19,649,990,674,561
  5. Step 5: Solve for x
    x = 19,649,990,674,561/2,054,032
  6. Step 6: Final answer
    x = 9,566,545.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.