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Finding the Third Proportional to 954,464 and 2,058,376

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Solution

The third proportional to 954,464 and 2,058,376 is: 4,439,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,464 : 2,058,376 = 2,058,376 : x
  2. Step 2: Convert to fraction form
    954,464/2,058,376 = 2,058,376/x
  3. Step 3: Cross multiply
    954,464x = 2,058,376 × 2,058,376
  4. Step 4: Simplify right side
    954,464x = 4,236,911,757,376
  5. Step 5: Solve for x
    x = 4,236,911,757,376/954,464
  6. Step 6: Final answer
    x = 4,439,048.26

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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.