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Finding the Third Proportional to 634,178 and 1,330,666

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Solution

The third proportional to 634,178 and 1,330,666 is: 2,792,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,178 : 1,330,666 = 1,330,666 : x
  2. Step 2: Convert to fraction form
    634,178/1,330,666 = 1,330,666/x
  3. Step 3: Cross multiply
    634,178x = 1,330,666 × 1,330,666
  4. Step 4: Simplify right side
    634,178x = 1,770,672,003,556
  5. Step 5: Solve for x
    x = 1,770,672,003,556/634,178
  6. Step 6: Final answer
    x = 2,792,074.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.