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Finding the Third Proportional to 475,200 and 989,577

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Solution

The third proportional to 475,200 and 989,577 is: 2,060,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,200 : 989,577 = 989,577 : x
  2. Step 2: Convert to fraction form
    475,200/989,577 = 989,577/x
  3. Step 3: Cross multiply
    475,200x = 989,577 × 989,577
  4. Step 4: Simplify right side
    475,200x = 979,262,638,929
  5. Step 5: Solve for x
    x = 979,262,638,929/475,200
  6. Step 6: Final answer
    x = 2,060,737.88

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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.