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Finding the Third Proportional to 471,544 and 1,018,417

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Solution

The third proportional to 471,544 and 1,018,417 is: 2,199,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,544 : 1,018,417 = 1,018,417 : x
  2. Step 2: Convert to fraction form
    471,544/1,018,417 = 1,018,417/x
  3. Step 3: Cross multiply
    471,544x = 1,018,417 × 1,018,417
  4. Step 4: Simplify right side
    471,544x = 1,037,173,185,889
  5. Step 5: Solve for x
    x = 1,037,173,185,889/471,544
  6. Step 6: Final answer
    x = 2,199,525.78

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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.