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Finding the Third Proportional to 2,954,984 and 6,470,464

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Solution

The third proportional to 2,954,984 and 6,470,464 is: 14,168,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,984 : 6,470,464 = 6,470,464 : x
  2. Step 2: Convert to fraction form
    2,954,984/6,470,464 = 6,470,464/x
  3. Step 3: Cross multiply
    2,954,984x = 6,470,464 × 6,470,464
  4. Step 4: Simplify right side
    2,954,984x = 41,866,904,375,296
  5. Step 5: Solve for x
    x = 41,866,904,375,296/2,954,984
  6. Step 6: Final answer
    x = 14,168,233.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.