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Finding the Third Proportional to 1,370,839 and 2,970,476

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Solution

The third proportional to 1,370,839 and 2,970,476 is: 6,436,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,839 : 2,970,476 = 2,970,476 : x
  2. Step 2: Convert to fraction form
    1,370,839/2,970,476 = 2,970,476/x
  3. Step 3: Cross multiply
    1,370,839x = 2,970,476 × 2,970,476
  4. Step 4: Simplify right side
    1,370,839x = 8,823,727,666,576
  5. Step 5: Solve for x
    x = 8,823,727,666,576/1,370,839
  6. Step 6: Final answer
    x = 6,436,735.22

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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.