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Finding the Third Proportional to 851,310 and 1,269,576

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Solution

The third proportional to 851,310 and 1,269,576 is: 1,893,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,310 : 1,269,576 = 1,269,576 : x
  2. Step 2: Convert to fraction form
    851,310/1,269,576 = 1,269,576/x
  3. Step 3: Cross multiply
    851,310x = 1,269,576 × 1,269,576
  4. Step 4: Simplify right side
    851,310x = 1,611,823,219,776
  5. Step 5: Solve for x
    x = 1,611,823,219,776/851,310
  6. Step 6: Final answer
    x = 1,893,344.63

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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.