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Finding the Third Proportional to 683,004 and 1,002,362

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Solution

The third proportional to 683,004 and 1,002,362 is: 1,471,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,004 : 1,002,362 = 1,002,362 : x
  2. Step 2: Convert to fraction form
    683,004/1,002,362 = 1,002,362/x
  3. Step 3: Cross multiply
    683,004x = 1,002,362 × 1,002,362
  4. Step 4: Simplify right side
    683,004x = 1,004,729,579,044
  5. Step 5: Solve for x
    x = 1,004,729,579,044/683,004
  6. Step 6: Final answer
    x = 1,471,044.94

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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.