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Finding the Third Proportional to 1,328,084 and 2,935,275

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Solution

The third proportional to 1,328,084 and 2,935,275 is: 6,487,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,084 : 2,935,275 = 2,935,275 : x
  2. Step 2: Convert to fraction form
    1,328,084/2,935,275 = 2,935,275/x
  3. Step 3: Cross multiply
    1,328,084x = 2,935,275 × 2,935,275
  4. Step 4: Simplify right side
    1,328,084x = 8,615,839,325,625
  5. Step 5: Solve for x
    x = 8,615,839,325,625/1,328,084
  6. Step 6: Final answer
    x = 6,487,420.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.