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Finding the Third Proportional to 1,505,206 and 3,216,476

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Solution

The third proportional to 1,505,206 and 3,216,476 is: 6,873,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,206 : 3,216,476 = 3,216,476 : x
  2. Step 2: Convert to fraction form
    1,505,206/3,216,476 = 3,216,476/x
  3. Step 3: Cross multiply
    1,505,206x = 3,216,476 × 3,216,476
  4. Step 4: Simplify right side
    1,505,206x = 10,345,717,858,576
  5. Step 5: Solve for x
    x = 10,345,717,858,576/1,505,206
  6. Step 6: Final answer
    x = 6,873,290.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.