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Finding the Third Proportional to 1,681,215 and 3,648,210

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Solution

The third proportional to 1,681,215 and 3,648,210 is: 7,916,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,215 : 3,648,210 = 3,648,210 : x
  2. Step 2: Convert to fraction form
    1,681,215/3,648,210 = 3,648,210/x
  3. Step 3: Cross multiply
    1,681,215x = 3,648,210 × 3,648,210
  4. Step 4: Simplify right side
    1,681,215x = 13,309,436,204,100
  5. Step 5: Solve for x
    x = 13,309,436,204,100/1,681,215
  6. Step 6: Final answer
    x = 7,916,558.09

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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.