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Finding the Third Proportional to 1,627,644 and 3,535,497

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Solution

The third proportional to 1,627,644 and 3,535,497 is: 7,679,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627,644 : 3,535,497 = 3,535,497 : x
  2. Step 2: Convert to fraction form
    1,627,644/3,535,497 = 3,535,497/x
  3. Step 3: Cross multiply
    1,627,644x = 3,535,497 × 3,535,497
  4. Step 4: Simplify right side
    1,627,644x = 12,499,739,037,009
  5. Step 5: Solve for x
    x = 12,499,739,037,009/1,627,644
  6. Step 6: Final answer
    x = 7,679,651.72

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