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Finding the Third Proportional to 492,032 and 1,058,240

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Solution

The third proportional to 492,032 and 1,058,240 is: 2,276,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,032 : 1,058,240 = 1,058,240 : x
  2. Step 2: Convert to fraction form
    492,032/1,058,240 = 1,058,240/x
  3. Step 3: Cross multiply
    492,032x = 1,058,240 × 1,058,240
  4. Step 4: Simplify right side
    492,032x = 1,119,871,897,600
  5. Step 5: Solve for x
    x = 1,119,871,897,600/492,032
  6. Step 6: Final answer
    x = 2,276,014.36

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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.