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Finding the Third Proportional to 856,659 and 1,285,152

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Solution

The third proportional to 856,659 and 1,285,152 is: 1,927,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,659 : 1,285,152 = 1,285,152 : x
  2. Step 2: Convert to fraction form
    856,659/1,285,152 = 1,285,152/x
  3. Step 3: Cross multiply
    856,659x = 1,285,152 × 1,285,152
  4. Step 4: Simplify right side
    856,659x = 1,651,615,663,104
  5. Step 5: Solve for x
    x = 1,651,615,663,104/856,659
  6. Step 6: Final answer
    x = 1,927,973.28

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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.