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Finding the Third Proportional to 471,924 and 1,018,980

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Solution

The third proportional to 471,924 and 1,018,980 is: 2,200,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,924 : 1,018,980 = 1,018,980 : x
  2. Step 2: Convert to fraction form
    471,924/1,018,980 = 1,018,980/x
  3. Step 3: Cross multiply
    471,924x = 1,018,980 × 1,018,980
  4. Step 4: Simplify right side
    471,924x = 1,038,320,240,400
  5. Step 5: Solve for x
    x = 1,038,320,240,400/471,924
  6. Step 6: Final answer
    x = 2,200,185.28

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