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Finding the Third Proportional to 1,746,820 and 3,801,185

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Solution

The third proportional to 1,746,820 and 3,801,185 is: 8,271,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,820 : 3,801,185 = 3,801,185 : x
  2. Step 2: Convert to fraction form
    1,746,820/3,801,185 = 3,801,185/x
  3. Step 3: Cross multiply
    1,746,820x = 3,801,185 × 3,801,185
  4. Step 4: Simplify right side
    1,746,820x = 14,449,007,404,225
  5. Step 5: Solve for x
    x = 14,449,007,404,225/1,746,820
  6. Step 6: Final answer
    x = 8,271,606.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.