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Finding the Third Proportional to 1,407,142 and 3,318,431

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Solution

The third proportional to 1,407,142 and 3,318,431 is: 7,825,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,142 : 3,318,431 = 3,318,431 : x
  2. Step 2: Convert to fraction form
    1,407,142/3,318,431 = 3,318,431/x
  3. Step 3: Cross multiply
    1,407,142x = 3,318,431 × 3,318,431
  4. Step 4: Simplify right side
    1,407,142x = 11,011,984,301,761
  5. Step 5: Solve for x
    x = 11,011,984,301,761/1,407,142
  6. Step 6: Final answer
    x = 7,825,780.41

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.