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Finding the Third Proportional to 856,670.63 and 1,285,168.50

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Solution

The third proportional to 856,670.63 and 1,285,168.50 is: 1,927,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,670.63 : 1,285,168.50 = 1,285,168.50 : x
  2. Step 2: Convert to fraction form
    856,670.63/1,285,168.50 = 1,285,168.50/x
  3. Step 3: Cross multiply
    856,670.63x = 1,285,168.50 × 1,285,168.50
  4. Step 4: Simplify right side
    856,670.63x = 1,651,658,073,392.25
  5. Step 5: Solve for x
    x = 1,651,658,073,392.25/856,670.63
  6. Step 6: Final answer
    x = 1,927,996.62

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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.