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Finding the Third Proportional to 682,830 and 1,071,009

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Solution

The third proportional to 682,830 and 1,071,009 is: 1,679,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,830 : 1,071,009 = 1,071,009 : x
  2. Step 2: Convert to fraction form
    682,830/1,071,009 = 1,071,009/x
  3. Step 3: Cross multiply
    682,830x = 1,071,009 × 1,071,009
  4. Step 4: Simplify right side
    682,830x = 1,147,060,278,081
  5. Step 5: Solve for x
    x = 1,147,060,278,081/682,830
  6. Step 6: Final answer
    x = 1,679,862.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.