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Finding the Third Proportional to 851,303 and 1,269,571

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Solution

The third proportional to 851,303 and 1,269,571 is: 1,893,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,303 : 1,269,571 = 1,269,571 : x
  2. Step 2: Convert to fraction form
    851,303/1,269,571 = 1,269,571/x
  3. Step 3: Cross multiply
    851,303x = 1,269,571 × 1,269,571
  4. Step 4: Simplify right side
    851,303x = 1,611,810,524,041
  5. Step 5: Solve for x
    x = 1,611,810,524,041/851,303
  6. Step 6: Final answer
    x = 1,893,345.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.