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Finding the Third Proportional to 619,080 and 933,590

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Solution

The third proportional to 619,080 and 933,590 is: 1,407,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,080 : 933,590 = 933,590 : x
  2. Step 2: Convert to fraction form
    619,080/933,590 = 933,590/x
  3. Step 3: Cross multiply
    619,080x = 933,590 × 933,590
  4. Step 4: Simplify right side
    619,080x = 871,590,288,100
  5. Step 5: Solve for x
    x = 871,590,288,100/619,080
  6. Step 6: Final answer
    x = 1,407,879.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.