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Finding the Third Proportional to 682,510 and 1,006,269

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Solution

The third proportional to 682,510 and 1,006,269 is: 1,483,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,510 : 1,006,269 = 1,006,269 : x
  2. Step 2: Convert to fraction form
    682,510/1,006,269 = 1,006,269/x
  3. Step 3: Cross multiply
    682,510x = 1,006,269 × 1,006,269
  4. Step 4: Simplify right side
    682,510x = 1,012,577,300,361
  5. Step 5: Solve for x
    x = 1,012,577,300,361/682,510
  6. Step 6: Final answer
    x = 1,483,608.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.