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Finding the Third Proportional to 1,242,828 and 2,662,656

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Solution

The third proportional to 1,242,828 and 2,662,656 is: 5,704,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,828 : 2,662,656 = 2,662,656 : x
  2. Step 2: Convert to fraction form
    1,242,828/2,662,656 = 2,662,656/x
  3. Step 3: Cross multiply
    1,242,828x = 2,662,656 × 2,662,656
  4. Step 4: Simplify right side
    1,242,828x = 7,089,736,974,336
  5. Step 5: Solve for x
    x = 7,089,736,974,336/1,242,828
  6. Step 6: Final answer
    x = 5,704,519.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.