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Finding the Third Proportional to 4,154,922 and 6,259,721

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Solution

The third proportional to 4,154,922 and 6,259,721 is: 9,430,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154,922 : 6,259,721 = 6,259,721 : x
  2. Step 2: Convert to fraction form
    4,154,922/6,259,721 = 6,259,721/x
  3. Step 3: Cross multiply
    4,154,922x = 6,259,721 × 6,259,721
  4. Step 4: Simplify right side
    4,154,922x = 39,184,106,997,841
  5. Step 5: Solve for x
    x = 39,184,106,997,841/4,154,922
  6. Step 6: Final answer
    x = 9,430,768.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.