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Finding the Third Proportional to 2,056,322 and 4,462,564

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Solution

The third proportional to 2,056,322 and 4,462,564 is: 9,684,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,322 : 4,462,564 = 4,462,564 : x
  2. Step 2: Convert to fraction form
    2,056,322/4,462,564 = 4,462,564/x
  3. Step 3: Cross multiply
    2,056,322x = 4,462,564 × 4,462,564
  4. Step 4: Simplify right side
    2,056,322x = 19,914,477,454,096
  5. Step 5: Solve for x
    x = 19,914,477,454,096/2,056,322
  6. Step 6: Final answer
    x = 9,684,513.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.