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Finding the Third Proportional to 1,224,432 and 2,648,322

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Solution

The third proportional to 1,224,432 and 2,648,322 is: 5,728,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,432 : 2,648,322 = 2,648,322 : x
  2. Step 2: Convert to fraction form
    1,224,432/2,648,322 = 2,648,322/x
  3. Step 3: Cross multiply
    1,224,432x = 2,648,322 × 2,648,322
  4. Step 4: Simplify right side
    1,224,432x = 7,013,609,415,684
  5. Step 5: Solve for x
    x = 7,013,609,415,684/1,224,432
  6. Step 6: Final answer
    x = 5,728,051.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.