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Finding the Third Proportional to 856,661.06 and 1,285,159.92

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Solution

The third proportional to 856,661.06 and 1,285,159.92 is: 1,927,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,661.06 : 1,285,159.92 = 1,285,159.92 : x
  2. Step 2: Convert to fraction form
    856,661.06/1,285,159.92 = 1,285,159.92/x
  3. Step 3: Cross multiply
    856,661.06x = 1,285,159.92 × 1,285,159.92
  4. Step 4: Simplify right side
    856,661.06x = 1,651,636,024,793.76
  5. Step 5: Solve for x
    x = 1,651,636,024,793.76/856,661.06
  6. Step 6: Final answer
    x = 1,927,992.41

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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.