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Finding the Third Proportional to 471,926 and 1,018,984

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Solution

The third proportional to 471,926 and 1,018,984 is: 2,200,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,926 : 1,018,984 = 1,018,984 : x
  2. Step 2: Convert to fraction form
    471,926/1,018,984 = 1,018,984/x
  3. Step 3: Cross multiply
    471,926x = 1,018,984 × 1,018,984
  4. Step 4: Simplify right side
    471,926x = 1,038,328,392,256
  5. Step 5: Solve for x
    x = 1,038,328,392,256/471,926
  6. Step 6: Final answer
    x = 2,200,193.23

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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.