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Finding the Third Proportional to 437,580 and 956,142

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Solution

The third proportional to 437,580 and 956,142 is: 2,089,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,580 : 956,142 = 956,142 : x
  2. Step 2: Convert to fraction form
    437,580/956,142 = 956,142/x
  3. Step 3: Cross multiply
    437,580x = 956,142 × 956,142
  4. Step 4: Simplify right side
    437,580x = 914,207,524,164
  5. Step 5: Solve for x
    x = 914,207,524,164/437,580
  6. Step 6: Final answer
    x = 2,089,235.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.