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Finding the Third Proportional to 641,100 and 1,015,166

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Solution

The third proportional to 641,100 and 1,015,166 is: 1,607,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,100 : 1,015,166 = 1,015,166 : x
  2. Step 2: Convert to fraction form
    641,100/1,015,166 = 1,015,166/x
  3. Step 3: Cross multiply
    641,100x = 1,015,166 × 1,015,166
  4. Step 4: Simplify right side
    641,100x = 1,030,562,007,556
  5. Step 5: Solve for x
    x = 1,030,562,007,556/641,100
  6. Step 6: Final answer
    x = 1,607,490.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.