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Finding the Third Proportional to 455,159 and 993,262

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Solution

The third proportional to 455,159 and 993,262 is: 2,167,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,159 : 993,262 = 993,262 : x
  2. Step 2: Convert to fraction form
    455,159/993,262 = 993,262/x
  3. Step 3: Cross multiply
    455,159x = 993,262 × 993,262
  4. Step 4: Simplify right side
    455,159x = 986,569,400,644
  5. Step 5: Solve for x
    x = 986,569,400,644/455,159
  6. Step 6: Final answer
    x = 2,167,526.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.