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Finding the Third Proportional to 2,178,648 and 4,787,352

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Solution

The third proportional to 2,178,648 and 4,787,352 is: 10,519,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,648 : 4,787,352 = 4,787,352 : x
  2. Step 2: Convert to fraction form
    2,178,648/4,787,352 = 4,787,352/x
  3. Step 3: Cross multiply
    2,178,648x = 4,787,352 × 4,787,352
  4. Step 4: Simplify right side
    2,178,648x = 22,918,739,171,904
  5. Step 5: Solve for x
    x = 22,918,739,171,904/2,178,648
  6. Step 6: Final answer
    x = 10,519,707.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.