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Finding the Third Proportional to 646,171.50 and 1,409,844

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Solution

The third proportional to 646,171.50 and 1,409,844 is: 3,076,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,171.50 : 1,409,844 = 1,409,844 : x
  2. Step 2: Convert to fraction form
    646,171.50/1,409,844 = 1,409,844/x
  3. Step 3: Cross multiply
    646,171.50x = 1,409,844 × 1,409,844
  4. Step 4: Simplify right side
    646,171.50x = 1,987,660,104,336
  5. Step 5: Solve for x
    x = 1,987,660,104,336/646,171.50
  6. Step 6: Final answer
    x = 3,076,056.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.