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Finding the Third Proportional to 2,954,712 and 4,628,412

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Solution

The third proportional to 2,954,712 and 4,628,412 is: 7,250,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,712 : 4,628,412 = 4,628,412 : x
  2. Step 2: Convert to fraction form
    2,954,712/4,628,412 = 4,628,412/x
  3. Step 3: Cross multiply
    2,954,712x = 4,628,412 × 4,628,412
  4. Step 4: Simplify right side
    2,954,712x = 21,422,197,641,744
  5. Step 5: Solve for x
    x = 21,422,197,641,744/2,954,712
  6. Step 6: Final answer
    x = 7,250,181.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.