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Finding the Third Proportional to 1,615,365 and 3,524,109

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Solution

The third proportional to 1,615,365 and 3,524,109 is: 7,688,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,365 : 3,524,109 = 3,524,109 : x
  2. Step 2: Convert to fraction form
    1,615,365/3,524,109 = 3,524,109/x
  3. Step 3: Cross multiply
    1,615,365x = 3,524,109 × 3,524,109
  4. Step 4: Simplify right side
    1,615,365x = 12,419,344,243,881
  5. Step 5: Solve for x
    x = 12,419,344,243,881/1,615,365
  6. Step 6: Final answer
    x = 7,688,258.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.