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Finding the Third Proportional to 475,136 and 989,449

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Solution

The third proportional to 475,136 and 989,449 is: 2,060,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,136 : 989,449 = 989,449 : x
  2. Step 2: Convert to fraction form
    475,136/989,449 = 989,449/x
  3. Step 3: Cross multiply
    475,136x = 989,449 × 989,449
  4. Step 4: Simplify right side
    475,136x = 979,009,323,601
  5. Step 5: Solve for x
    x = 979,009,323,601/475,136
  6. Step 6: Final answer
    x = 2,060,482.31

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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.