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Finding the Third Proportional to 954,471 and 2,058,411

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Solution

The third proportional to 954,471 and 2,058,411 is: 4,439,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,471 : 2,058,411 = 2,058,411 : x
  2. Step 2: Convert to fraction form
    954,471/2,058,411 = 2,058,411/x
  3. Step 3: Cross multiply
    954,471x = 2,058,411 × 2,058,411
  4. Step 4: Simplify right side
    954,471x = 4,237,055,844,921
  5. Step 5: Solve for x
    x = 4,237,055,844,921/954,471
  6. Step 6: Final answer
    x = 4,439,166.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.