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Finding the Third Proportional to 683,128 and 1,002,526

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Solution

The third proportional to 683,128 and 1,002,526 is: 1,471,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,128 : 1,002,526 = 1,002,526 : x
  2. Step 2: Convert to fraction form
    683,128/1,002,526 = 1,002,526/x
  3. Step 3: Cross multiply
    683,128x = 1,002,526 × 1,002,526
  4. Step 4: Simplify right side
    683,128x = 1,005,058,380,676
  5. Step 5: Solve for x
    x = 1,005,058,380,676/683,128
  6. Step 6: Final answer
    x = 1,471,259.24

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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.