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Finding the Third Proportional to 492,430 and 1,058,423

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Solution

The third proportional to 492,430 and 1,058,423 is: 2,274,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,430 : 1,058,423 = 1,058,423 : x
  2. Step 2: Convert to fraction form
    492,430/1,058,423 = 1,058,423/x
  3. Step 3: Cross multiply
    492,430x = 1,058,423 × 1,058,423
  4. Step 4: Simplify right side
    492,430x = 1,120,259,246,929
  5. Step 5: Solve for x
    x = 1,120,259,246,929/492,430
  6. Step 6: Final answer
    x = 2,274,961.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.