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Finding the Third Proportional to 1,367,580 and 2,975,973

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Solution

The third proportional to 1,367,580 and 2,975,973 is: 6,475,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,580 : 2,975,973 = 2,975,973 : x
  2. Step 2: Convert to fraction form
    1,367,580/2,975,973 = 2,975,973/x
  3. Step 3: Cross multiply
    1,367,580x = 2,975,973 × 2,975,973
  4. Step 4: Simplify right side
    1,367,580x = 8,856,415,296,729
  5. Step 5: Solve for x
    x = 8,856,415,296,729/1,367,580
  6. Step 6: Final answer
    x = 6,475,976.03

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Why These Related Problems?

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