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Finding the Third Proportional to 650,293 and 1,014,805

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Solution

The third proportional to 650,293 and 1,014,805 is: 1,583,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,293 : 1,014,805 = 1,014,805 : x
  2. Step 2: Convert to fraction form
    650,293/1,014,805 = 1,014,805/x
  3. Step 3: Cross multiply
    650,293x = 1,014,805 × 1,014,805
  4. Step 4: Simplify right side
    650,293x = 1,029,829,188,025
  5. Step 5: Solve for x
    x = 1,029,829,188,025/650,293
  6. Step 6: Final answer
    x = 1,583,638.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.