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Finding the Third Proportional to 2,954,963 and 6,470,426

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Solution

The third proportional to 2,954,963 and 6,470,426 is: 14,168,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,963 : 6,470,426 = 6,470,426 : x
  2. Step 2: Convert to fraction form
    2,954,963/6,470,426 = 6,470,426/x
  3. Step 3: Cross multiply
    2,954,963x = 6,470,426 × 6,470,426
  4. Step 4: Simplify right side
    2,954,963x = 41,866,412,621,476
  5. Step 5: Solve for x
    x = 41,866,412,621,476/2,954,963
  6. Step 6: Final answer
    x = 14,168,168.14

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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.