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Finding the Third Proportional to 458,298 and 1,007,964

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Solution

The third proportional to 458,298 and 1,007,964 is: 2,216,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,298 : 1,007,964 = 1,007,964 : x
  2. Step 2: Convert to fraction form
    458,298/1,007,964 = 1,007,964/x
  3. Step 3: Cross multiply
    458,298x = 1,007,964 × 1,007,964
  4. Step 4: Simplify right side
    458,298x = 1,015,991,425,296
  5. Step 5: Solve for x
    x = 1,015,991,425,296/458,298
  6. Step 6: Final answer
    x = 2,216,879.47

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