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Finding the Third Proportional to 1,631,608 and 3,534,368

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Solution

The third proportional to 1,631,608 and 3,534,368 is: 7,656,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,608 : 3,534,368 = 3,534,368 : x
  2. Step 2: Convert to fraction form
    1,631,608/3,534,368 = 3,534,368/x
  3. Step 3: Cross multiply
    1,631,608x = 3,534,368 × 3,534,368
  4. Step 4: Simplify right side
    1,631,608x = 12,491,757,159,424
  5. Step 5: Solve for x
    x = 12,491,757,159,424/1,631,608
  6. Step 6: Final answer
    x = 7,656,101.93

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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.