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Finding the Third Proportional to 492,804 and 1,064,259

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Solution

The third proportional to 492,804 and 1,064,259 is: 2,298,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,804 : 1,064,259 = 1,064,259 : x
  2. Step 2: Convert to fraction form
    492,804/1,064,259 = 1,064,259/x
  3. Step 3: Cross multiply
    492,804x = 1,064,259 × 1,064,259
  4. Step 4: Simplify right side
    492,804x = 1,132,647,219,081
  5. Step 5: Solve for x
    x = 1,132,647,219,081/492,804
  6. Step 6: Final answer
    x = 2,298,372.62

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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.