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Finding the Third Proportional to 683,814 and 1,003,488

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Solution

The third proportional to 683,814 and 1,003,488 is: 1,472,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,814 : 1,003,488 = 1,003,488 : x
  2. Step 2: Convert to fraction form
    683,814/1,003,488 = 1,003,488/x
  3. Step 3: Cross multiply
    683,814x = 1,003,488 × 1,003,488
  4. Step 4: Simplify right side
    683,814x = 1,006,988,166,144
  5. Step 5: Solve for x
    x = 1,006,988,166,144/683,814
  6. Step 6: Final answer
    x = 1,472,605.37

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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.