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Finding the Third Proportional to 1,693,503 and 3,652,902

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Solution

The third proportional to 1,693,503 and 3,652,902 is: 7,879,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,503 : 3,652,902 = 3,652,902 : x
  2. Step 2: Convert to fraction form
    1,693,503/3,652,902 = 3,652,902/x
  3. Step 3: Cross multiply
    1,693,503x = 3,652,902 × 3,652,902
  4. Step 4: Simplify right side
    1,693,503x = 13,343,693,021,604
  5. Step 5: Solve for x
    x = 13,343,693,021,604/1,693,503
  6. Step 6: Final answer
    x = 7,879,344.19

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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.