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Finding the Third Proportional to 604,113 and 1,410,921

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Solution

The third proportional to 604,113 and 1,410,921 is: 3,295,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,113 : 1,410,921 = 1,410,921 : x
  2. Step 2: Convert to fraction form
    604,113/1,410,921 = 1,410,921/x
  3. Step 3: Cross multiply
    604,113x = 1,410,921 × 1,410,921
  4. Step 4: Simplify right side
    604,113x = 1,990,698,068,241
  5. Step 5: Solve for x
    x = 1,990,698,068,241/604,113
  6. Step 6: Final answer
    x = 3,295,241.24

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.