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Finding the Third Proportional to 492,818 and 1,008,964

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Solution

The third proportional to 492,818 and 1,008,964 is: 2,065,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,818 : 1,008,964 = 1,008,964 : x
  2. Step 2: Convert to fraction form
    492,818/1,008,964 = 1,008,964/x
  3. Step 3: Cross multiply
    492,818x = 1,008,964 × 1,008,964
  4. Step 4: Simplify right side
    492,818x = 1,018,008,353,296
  5. Step 5: Solve for x
    x = 1,018,008,353,296/492,818
  6. Step 6: Final answer
    x = 2,065,688.25

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.