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Finding the Third Proportional to 683,484 and 1,582,278

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Solution

The third proportional to 683,484 and 1,582,278 is: 3,663,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,484 : 1,582,278 = 1,582,278 : x
  2. Step 2: Convert to fraction form
    683,484/1,582,278 = 1,582,278/x
  3. Step 3: Cross multiply
    683,484x = 1,582,278 × 1,582,278
  4. Step 4: Simplify right side
    683,484x = 2,503,603,669,284
  5. Step 5: Solve for x
    x = 2,503,603,669,284/683,484
  6. Step 6: Final answer
    x = 3,663,002.60

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.