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Finding the Third Proportional to 471,456 and 1,018,224

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Solution

The third proportional to 471,456 and 1,018,224 is: 2,199,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,456 : 1,018,224 = 1,018,224 : x
  2. Step 2: Convert to fraction form
    471,456/1,018,224 = 1,018,224/x
  3. Step 3: Cross multiply
    471,456x = 1,018,224 × 1,018,224
  4. Step 4: Simplify right side
    471,456x = 1,036,780,114,176
  5. Step 5: Solve for x
    x = 1,036,780,114,176/471,456
  6. Step 6: Final answer
    x = 2,199,102.60

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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.