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Finding the Third Proportional to 1,601,430.75 and 1,883,766.38

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Solution

The third proportional to 1,601,430.75 and 1,883,766.38 is: 2,215,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,430.75 : 1,883,766.38 = 1,883,766.38 : x
  2. Step 2: Convert to fraction form
    1,601,430.75/1,883,766.38 = 1,883,766.38/x
  3. Step 3: Cross multiply
    1,601,430.75x = 1,883,766.38 × 1,883,766.38
  4. Step 4: Simplify right side
    1,601,430.75x = 3,548,575,755,580.64
  5. Step 5: Solve for x
    x = 3,548,575,755,580.64/1,601,430.75
  6. Step 6: Final answer
    x = 2,215,878.37

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.