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Finding the Third Proportional to 860,823 and 1,263,586.50

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Solution

The third proportional to 860,823 and 1,263,586.50 is: 1,854,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,823 : 1,263,586.50 = 1,263,586.50 : x
  2. Step 2: Convert to fraction form
    860,823/1,263,586.50 = 1,263,586.50/x
  3. Step 3: Cross multiply
    860,823x = 1,263,586.50 × 1,263,586.50
  4. Step 4: Simplify right side
    860,823x = 1,596,650,842,982.25
  5. Step 5: Solve for x
    x = 1,596,650,842,982.25/860,823
  6. Step 6: Final answer
    x = 1,854,795.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.