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Finding the Third Proportional to 492,445 and 1,058,447

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Solution

The third proportional to 492,445 and 1,058,447 is: 2,274,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,445 : 1,058,447 = 1,058,447 : x
  2. Step 2: Convert to fraction form
    492,445/1,058,447 = 1,058,447/x
  3. Step 3: Cross multiply
    492,445x = 1,058,447 × 1,058,447
  4. Step 4: Simplify right side
    492,445x = 1,120,310,051,809
  5. Step 5: Solve for x
    x = 1,120,310,051,809/492,445
  6. Step 6: Final answer
    x = 2,274,995.28

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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.