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Finding the Third Proportional to 646,870,891 and 1,056,170,144

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Solution

The third proportional to 646,870,891 and 1,056,170,144 is: 1,724,448,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,870,891 : 1,056,170,144 = 1,056,170,144 : x
  2. Step 2: Convert to fraction form
    646,870,891/1,056,170,144 = 1,056,170,144/x
  3. Step 3: Cross multiply
    646,870,891x = 1,056,170,144 × 1,056,170,144
  4. Step 4: Simplify right side
    646,870,891x = 1,115,495,373,076,980,736
  5. Step 5: Solve for x
    x = 1,115,495,373,076,980,736/646,870,891
  6. Step 6: Final answer
    x = 1,724,448,245.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.