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Finding the Third Proportional to 1,282,404 and 2,742,696

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Solution

The third proportional to 1,282,404 and 2,742,696 is: 5,865,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,404 : 2,742,696 = 2,742,696 : x
  2. Step 2: Convert to fraction form
    1,282,404/2,742,696 = 2,742,696/x
  3. Step 3: Cross multiply
    1,282,404x = 2,742,696 × 2,742,696
  4. Step 4: Simplify right side
    1,282,404x = 7,522,381,348,416
  5. Step 5: Solve for x
    x = 7,522,381,348,416/1,282,404
  6. Step 6: Final answer
    x = 5,865,843.64

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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.