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Finding the Third Proportional to 456,338 and 1,066,205

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Solution

The third proportional to 456,338 and 1,066,205 is: 2,491,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,338 : 1,066,205 = 1,066,205 : x
  2. Step 2: Convert to fraction form
    456,338/1,066,205 = 1,066,205/x
  3. Step 3: Cross multiply
    456,338x = 1,066,205 × 1,066,205
  4. Step 4: Simplify right side
    456,338x = 1,136,793,102,025
  5. Step 5: Solve for x
    x = 1,136,793,102,025/456,338
  6. Step 6: Final answer
    x = 2,491,120.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.