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Finding the Third Proportional to 1,271,416 and 1,920,084

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Solution

The third proportional to 1,271,416 and 1,920,084 is: 2,899,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,416 : 1,920,084 = 1,920,084 : x
  2. Step 2: Convert to fraction form
    1,271,416/1,920,084 = 1,920,084/x
  3. Step 3: Cross multiply
    1,271,416x = 1,920,084 × 1,920,084
  4. Step 4: Simplify right side
    1,271,416x = 3,686,722,567,056
  5. Step 5: Solve for x
    x = 3,686,722,567,056/1,271,416
  6. Step 6: Final answer
    x = 2,899,698.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.