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Finding the Third Proportional to 763,970 and 1,619,007

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Solution

The third proportional to 763,970 and 1,619,007 is: 3,431,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,970 : 1,619,007 = 1,619,007 : x
  2. Step 2: Convert to fraction form
    763,970/1,619,007 = 1,619,007/x
  3. Step 3: Cross multiply
    763,970x = 1,619,007 × 1,619,007
  4. Step 4: Simplify right side
    763,970x = 2,621,183,666,049
  5. Step 5: Solve for x
    x = 2,621,183,666,049/763,970
  6. Step 6: Final answer
    x = 3,431,003.40

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.