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Finding the Third Proportional to 1,427,084 and 1,956,918

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Solution

The third proportional to 1,427,084 and 1,956,918 is: 2,683,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,084 : 1,956,918 = 1,956,918 : x
  2. Step 2: Convert to fraction form
    1,427,084/1,956,918 = 1,956,918/x
  3. Step 3: Cross multiply
    1,427,084x = 1,956,918 × 1,956,918
  4. Step 4: Simplify right side
    1,427,084x = 3,829,528,058,724
  5. Step 5: Solve for x
    x = 3,829,528,058,724/1,427,084
  6. Step 6: Final answer
    x = 2,683,463.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.