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Finding the Third Proportional to 722,032 and 1,058,416

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Solution

The third proportional to 722,032 and 1,058,416 is: 1,551,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,032 : 1,058,416 = 1,058,416 : x
  2. Step 2: Convert to fraction form
    722,032/1,058,416 = 1,058,416/x
  3. Step 3: Cross multiply
    722,032x = 1,058,416 × 1,058,416
  4. Step 4: Simplify right side
    722,032x = 1,120,244,429,056
  5. Step 5: Solve for x
    x = 1,120,244,429,056/722,032
  6. Step 6: Final answer
    x = 1,551,516.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.