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Finding the Third Proportional to 1,576,548 and 3,414,580

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Solution

The third proportional to 1,576,548 and 3,414,580 is: 7,395,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,548 : 3,414,580 = 3,414,580 : x
  2. Step 2: Convert to fraction form
    1,576,548/3,414,580 = 3,414,580/x
  3. Step 3: Cross multiply
    1,576,548x = 3,414,580 × 3,414,580
  4. Step 4: Simplify right side
    1,576,548x = 11,659,356,576,400
  5. Step 5: Solve for x
    x = 11,659,356,576,400/1,576,548
  6. Step 6: Final answer
    x = 7,395,497.36

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Why These Related Problems?

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