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Finding the Third Proportional to 1,407,017 and 2,863,716

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Solution

The third proportional to 1,407,017 and 2,863,716 is: 5,828,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,017 : 2,863,716 = 2,863,716 : x
  2. Step 2: Convert to fraction form
    1,407,017/2,863,716 = 2,863,716/x
  3. Step 3: Cross multiply
    1,407,017x = 2,863,716 × 2,863,716
  4. Step 4: Simplify right side
    1,407,017x = 8,200,869,328,656
  5. Step 5: Solve for x
    x = 8,200,869,328,656/1,407,017
  6. Step 6: Final answer
    x = 5,828,550.28

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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.