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Finding the Third Proportional to 830,676 and 1,090,740

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Solution

The third proportional to 830,676 and 1,090,740 is: 1,432,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,676 : 1,090,740 = 1,090,740 : x
  2. Step 2: Convert to fraction form
    830,676/1,090,740 = 1,090,740/x
  3. Step 3: Cross multiply
    830,676x = 1,090,740 × 1,090,740
  4. Step 4: Simplify right side
    830,676x = 1,189,713,747,600
  5. Step 5: Solve for x
    x = 1,189,713,747,600/830,676
  6. Step 6: Final answer
    x = 1,432,223.57

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.