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Finding the Third Proportional to 1,600,336 and 3,488,256

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Solution

The third proportional to 1,600,336 and 3,488,256 is: 7,603,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,336 : 3,488,256 = 3,488,256 : x
  2. Step 2: Convert to fraction form
    1,600,336/3,488,256 = 3,488,256/x
  3. Step 3: Cross multiply
    1,600,336x = 3,488,256 × 3,488,256
  4. Step 4: Simplify right side
    1,600,336x = 12,167,929,921,536
  5. Step 5: Solve for x
    x = 12,167,929,921,536/1,600,336
  6. Step 6: Final answer
    x = 7,603,359.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.