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Finding the Third Proportional to 1,706,199 and 3,949,920

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Solution

The third proportional to 1,706,199 and 3,949,920 is: 9,144,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,199 : 3,949,920 = 3,949,920 : x
  2. Step 2: Convert to fraction form
    1,706,199/3,949,920 = 3,949,920/x
  3. Step 3: Cross multiply
    1,706,199x = 3,949,920 × 3,949,920
  4. Step 4: Simplify right side
    1,706,199x = 15,601,868,006,400
  5. Step 5: Solve for x
    x = 15,601,868,006,400/1,706,199
  6. Step 6: Final answer
    x = 9,144,225.27

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.