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Finding the Third Proportional to 426,072 and 936,222

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Solution

The third proportional to 426,072 and 936,222 is: 2,057,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,072 : 936,222 = 936,222 : x
  2. Step 2: Convert to fraction form
    426,072/936,222 = 936,222/x
  3. Step 3: Cross multiply
    426,072x = 936,222 × 936,222
  4. Step 4: Simplify right side
    426,072x = 876,511,633,284
  5. Step 5: Solve for x
    x = 876,511,633,284/426,072
  6. Step 6: Final answer
    x = 2,057,191.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.