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Finding the Third Proportional to 1,406,857 and 2,863,435

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Solution

The third proportional to 1,406,857 and 2,863,435 is: 5,828,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,857 : 2,863,435 = 2,863,435 : x
  2. Step 2: Convert to fraction form
    1,406,857/2,863,435 = 2,863,435/x
  3. Step 3: Cross multiply
    1,406,857x = 2,863,435 × 2,863,435
  4. Step 4: Simplify right side
    1,406,857x = 8,199,259,999,225
  5. Step 5: Solve for x
    x = 8,199,259,999,225/1,406,857
  6. Step 6: Final answer
    x = 5,828,069.23

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.