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Finding the Third Proportional to 1,564,814 and 3,336,322

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Solution

The third proportional to 1,564,814 and 3,336,322 is: 7,113,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,814 : 3,336,322 = 3,336,322 : x
  2. Step 2: Convert to fraction form
    1,564,814/3,336,322 = 3,336,322/x
  3. Step 3: Cross multiply
    1,564,814x = 3,336,322 × 3,336,322
  4. Step 4: Simplify right side
    1,564,814x = 11,131,044,487,684
  5. Step 5: Solve for x
    x = 11,131,044,487,684/1,564,814
  6. Step 6: Final answer
    x = 7,113,333.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.