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Finding the Third Proportional to 683,073 and 1,484,271

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Solution

The third proportional to 683,073 and 1,484,271 is: 3,225,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,073 : 1,484,271 = 1,484,271 : x
  2. Step 2: Convert to fraction form
    683,073/1,484,271 = 1,484,271/x
  3. Step 3: Cross multiply
    683,073x = 1,484,271 × 1,484,271
  4. Step 4: Simplify right side
    683,073x = 2,203,060,401,441
  5. Step 5: Solve for x
    x = 2,203,060,401,441/683,073
  6. Step 6: Final answer
    x = 3,225,219.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.