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Finding the Third Proportional to 1,468,936 and 3,114,296

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Solution

The third proportional to 1,468,936 and 3,114,296 is: 6,602,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,936 : 3,114,296 = 3,114,296 : x
  2. Step 2: Convert to fraction form
    1,468,936/3,114,296 = 3,114,296/x
  3. Step 3: Cross multiply
    1,468,936x = 3,114,296 × 3,114,296
  4. Step 4: Simplify right side
    1,468,936x = 9,698,839,575,616
  5. Step 5: Solve for x
    x = 9,698,839,575,616/1,468,936
  6. Step 6: Final answer
    x = 6,602,629.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.