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Finding the Third Proportional to 450,082 and 977,436

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Solution

The third proportional to 450,082 and 977,436 is: 2,122,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,082 : 977,436 = 977,436 : x
  2. Step 2: Convert to fraction form
    450,082/977,436 = 977,436/x
  3. Step 3: Cross multiply
    450,082x = 977,436 × 977,436
  4. Step 4: Simplify right side
    450,082x = 955,381,134,096
  5. Step 5: Solve for x
    x = 955,381,134,096/450,082
  6. Step 6: Final answer
    x = 2,122,682.39

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Why These Related Problems?

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