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Finding the Third Proportional to 560,797 and 847,886

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Solution

The third proportional to 560,797 and 847,886 is: 1,281,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,797 : 847,886 = 847,886 : x
  2. Step 2: Convert to fraction form
    560,797/847,886 = 847,886/x
  3. Step 3: Cross multiply
    560,797x = 847,886 × 847,886
  4. Step 4: Simplify right side
    560,797x = 718,910,668,996
  5. Step 5: Solve for x
    x = 718,910,668,996/560,797
  6. Step 6: Final answer
    x = 1,281,944.57

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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.