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Finding the Third Proportional to 467,013 and 1,020,549

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Solution

The third proportional to 467,013 and 1,020,549 is: 2,230,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,013 : 1,020,549 = 1,020,549 : x
  2. Step 2: Convert to fraction form
    467,013/1,020,549 = 1,020,549/x
  3. Step 3: Cross multiply
    467,013x = 1,020,549 × 1,020,549
  4. Step 4: Simplify right side
    467,013x = 1,041,520,261,401
  5. Step 5: Solve for x
    x = 1,041,520,261,401/467,013
  6. Step 6: Final answer
    x = 2,230,174.02

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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.