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Finding the Third Proportional to 866,308 and 1,299,462

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Solution

The third proportional to 866,308 and 1,299,462 is: 1,949,193

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,308 : 1,299,462 = 1,299,462 : x
  2. Step 2: Convert to fraction form
    866,308/1,299,462 = 1,299,462/x
  3. Step 3: Cross multiply
    866,308x = 1,299,462 × 1,299,462
  4. Step 4: Simplify right side
    866,308x = 1,688,601,489,444
  5. Step 5: Solve for x
    x = 1,688,601,489,444/866,308
  6. Step 6: Final answer
    x = 1,949,193

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.