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Finding the Third Proportional to 863,185 and 1,306,769

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Solution

The third proportional to 863,185 and 1,306,769 is: 1,978,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,185 : 1,306,769 = 1,306,769 : x
  2. Step 2: Convert to fraction form
    863,185/1,306,769 = 1,306,769/x
  3. Step 3: Cross multiply
    863,185x = 1,306,769 × 1,306,769
  4. Step 4: Simplify right side
    863,185x = 1,707,645,219,361
  5. Step 5: Solve for x
    x = 1,707,645,219,361/863,185
  6. Step 6: Final answer
    x = 1,978,307.34

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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.