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Finding the Third Proportional to 600,058 and 1,280,468

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Solution

The third proportional to 600,058 and 1,280,468 is: 2,732,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,058 : 1,280,468 = 1,280,468 : x
  2. Step 2: Convert to fraction form
    600,058/1,280,468 = 1,280,468/x
  3. Step 3: Cross multiply
    600,058x = 1,280,468 × 1,280,468
  4. Step 4: Simplify right side
    600,058x = 1,639,598,299,024
  5. Step 5: Solve for x
    x = 1,639,598,299,024/600,058
  6. Step 6: Final answer
    x = 2,732,399.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.