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Finding the Third Proportional to 2,129,118 and 4,670,433

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Solution

The third proportional to 2,129,118 and 4,670,433 is: 10,245,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,118 : 4,670,433 = 4,670,433 : x
  2. Step 2: Convert to fraction form
    2,129,118/4,670,433 = 4,670,433/x
  3. Step 3: Cross multiply
    2,129,118x = 4,670,433 × 4,670,433
  4. Step 4: Simplify right side
    2,129,118x = 21,812,944,407,489
  5. Step 5: Solve for x
    x = 21,812,944,407,489/2,129,118
  6. Step 6: Final answer
    x = 10,245,061.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.