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Finding the Third Proportional to 2,065,824 and 4,430,484

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Solution

The third proportional to 2,065,824 and 4,430,484 is: 9,501,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,824 : 4,430,484 = 4,430,484 : x
  2. Step 2: Convert to fraction form
    2,065,824/4,430,484 = 4,430,484/x
  3. Step 3: Cross multiply
    2,065,824x = 4,430,484 × 4,430,484
  4. Step 4: Simplify right side
    2,065,824x = 19,629,188,474,256
  5. Step 5: Solve for x
    x = 19,629,188,474,256/2,065,824
  6. Step 6: Final answer
    x = 9,501,868.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.