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Finding the Third Proportional to 1,681,165.50 and 3,648,099

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Solution

The third proportional to 1,681,165.50 and 3,648,099 is: 7,916,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,165.50 : 3,648,099 = 3,648,099 : x
  2. Step 2: Convert to fraction form
    1,681,165.50/3,648,099 = 3,648,099/x
  3. Step 3: Cross multiply
    1,681,165.50x = 3,648,099 × 3,648,099
  4. Step 4: Simplify right side
    1,681,165.50x = 13,308,626,313,801
  5. Step 5: Solve for x
    x = 13,308,626,313,801/1,681,165.50
  6. Step 6: Final answer
    x = 7,916,309.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.