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Finding the Third Proportional to 475,082 and 989,476

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Solution

The third proportional to 475,082 and 989,476 is: 2,060,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,082 : 989,476 = 989,476 : x
  2. Step 2: Convert to fraction form
    475,082/989,476 = 989,476/x
  3. Step 3: Cross multiply
    475,082x = 989,476 × 989,476
  4. Step 4: Simplify right side
    475,082x = 979,062,754,576
  5. Step 5: Solve for x
    x = 979,062,754,576/475,082
  6. Step 6: Final answer
    x = 2,060,828.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.