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Finding the Third Proportional to 458,873.44 and 1,009,499.63

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Solution

The third proportional to 458,873.44 and 1,009,499.63 is: 2,220,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,873.44 : 1,009,499.63 = 1,009,499.63 : x
  2. Step 2: Convert to fraction form
    458,873.44/1,009,499.63 = 1,009,499.63/x
  3. Step 3: Cross multiply
    458,873.44x = 1,009,499.63 × 1,009,499.63
  4. Step 4: Simplify right side
    458,873.44x = 1,019,089,492,875.14
  5. Step 5: Solve for x
    x = 1,019,089,492,875.14/458,873.44
  6. Step 6: Final answer
    x = 2,220,850.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.