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Finding the Third Proportional to 455,071 and 989,564

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Solution

The third proportional to 455,071 and 989,564 is: 2,151,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,071 : 989,564 = 989,564 : x
  2. Step 2: Convert to fraction form
    455,071/989,564 = 989,564/x
  3. Step 3: Cross multiply
    455,071x = 989,564 × 989,564
  4. Step 4: Simplify right side
    455,071x = 979,236,910,096
  5. Step 5: Solve for x
    x = 979,236,910,096/455,071
  6. Step 6: Final answer
    x = 2,151,833.25

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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.