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Finding the Third Proportional to 856,658 and 1,285,150.50

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Solution

The third proportional to 856,658 and 1,285,150.50 is: 1,927,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,658 : 1,285,150.50 = 1,285,150.50 : x
  2. Step 2: Convert to fraction form
    856,658/1,285,150.50 = 1,285,150.50/x
  3. Step 3: Cross multiply
    856,658x = 1,285,150.50 × 1,285,150.50
  4. Step 4: Simplify right side
    856,658x = 1,651,611,807,650.25
  5. Step 5: Solve for x
    x = 1,651,611,807,650.25/856,658
  6. Step 6: Final answer
    x = 1,927,971.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.