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Finding the Third Proportional to 683,683 and 1,496,196

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Solution

The third proportional to 683,683 and 1,496,196 is: 3,274,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,683 : 1,496,196 = 1,496,196 : x
  2. Step 2: Convert to fraction form
    683,683/1,496,196 = 1,496,196/x
  3. Step 3: Cross multiply
    683,683x = 1,496,196 × 1,496,196
  4. Step 4: Simplify right side
    683,683x = 2,238,602,470,416
  5. Step 5: Solve for x
    x = 2,238,602,470,416/683,683
  6. Step 6: Final answer
    x = 3,274,328.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.