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Finding the Third Proportional to 560,823 and 847,926

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Solution

The third proportional to 560,823 and 847,926 is: 1,282,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,823 : 847,926 = 847,926 : x
  2. Step 2: Convert to fraction form
    560,823/847,926 = 847,926/x
  3. Step 3: Cross multiply
    560,823x = 847,926 × 847,926
  4. Step 4: Simplify right side
    560,823x = 718,978,501,476
  5. Step 5: Solve for x
    x = 718,978,501,476/560,823
  6. Step 6: Final answer
    x = 1,282,006.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.