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Finding the Third Proportional to 471,546 and 1,018,422

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Solution

The third proportional to 471,546 and 1,018,422 is: 2,199,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,546 : 1,018,422 = 1,018,422 : x
  2. Step 2: Convert to fraction form
    471,546/1,018,422 = 1,018,422/x
  3. Step 3: Cross multiply
    471,546x = 1,018,422 × 1,018,422
  4. Step 4: Simplify right side
    471,546x = 1,037,183,370,084
  5. Step 5: Solve for x
    x = 1,037,183,370,084/471,546
  6. Step 6: Final answer
    x = 2,199,538.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.