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Finding the Third Proportional to 683,130 and 1,002,529

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Solution

The third proportional to 683,130 and 1,002,529 is: 1,471,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,130 : 1,002,529 = 1,002,529 : x
  2. Step 2: Convert to fraction form
    683,130/1,002,529 = 1,002,529/x
  3. Step 3: Cross multiply
    683,130x = 1,002,529 × 1,002,529
  4. Step 4: Simplify right side
    683,130x = 1,005,064,395,841
  5. Step 5: Solve for x
    x = 1,005,064,395,841/683,130
  6. Step 6: Final answer
    x = 1,471,263.74

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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.