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Finding the Third Proportional to 683,364 and 1,019,502

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Solution

The third proportional to 683,364 and 1,019,502 is: 1,520,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,364 : 1,019,502 = 1,019,502 : x
  2. Step 2: Convert to fraction form
    683,364/1,019,502 = 1,019,502/x
  3. Step 3: Cross multiply
    683,364x = 1,019,502 × 1,019,502
  4. Step 4: Simplify right side
    683,364x = 1,039,384,328,004
  5. Step 5: Solve for x
    x = 1,039,384,328,004/683,364
  6. Step 6: Final answer
    x = 1,520,981.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.