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Finding the Third Proportional to 475,098 and 989,508

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Solution

The third proportional to 475,098 and 989,508 is: 2,060,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,098 : 989,508 = 989,508 : x
  2. Step 2: Convert to fraction form
    475,098/989,508 = 989,508/x
  3. Step 3: Cross multiply
    475,098x = 989,508 × 989,508
  4. Step 4: Simplify right side
    475,098x = 979,126,082,064
  5. Step 5: Solve for x
    x = 979,126,082,064/475,098
  6. Step 6: Final answer
    x = 2,060,892.87

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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.