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Finding the Third Proportional to 560,817 and 847,917

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Solution

The third proportional to 560,817 and 847,917 is: 1,281,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,817 : 847,917 = 847,917 : x
  2. Step 2: Convert to fraction form
    560,817/847,917 = 847,917/x
  3. Step 3: Cross multiply
    560,817x = 847,917 × 847,917
  4. Step 4: Simplify right side
    560,817x = 718,963,238,889
  5. Step 5: Solve for x
    x = 718,963,238,889/560,817
  6. Step 6: Final answer
    x = 1,281,992.59

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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.