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Finding the Third Proportional to 1,465,920 and 3,182,512

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Solution

The third proportional to 1,465,920 and 3,182,512 is: 6,909,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,920 : 3,182,512 = 3,182,512 : x
  2. Step 2: Convert to fraction form
    1,465,920/3,182,512 = 3,182,512/x
  3. Step 3: Cross multiply
    1,465,920x = 3,182,512 × 3,182,512
  4. Step 4: Simplify right side
    1,465,920x = 10,128,382,630,144
  5. Step 5: Solve for x
    x = 10,128,382,630,144/1,465,920
  6. Step 6: Final answer
    x = 6,909,232.86

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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.