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Finding the Third Proportional to 1,640,220.75 and 3,550,009.50

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Solution

The third proportional to 1,640,220.75 and 3,550,009.50 is: 7,683,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,220.75 : 3,550,009.50 = 3,550,009.50 : x
  2. Step 2: Convert to fraction form
    1,640,220.75/3,550,009.50 = 3,550,009.50/x
  3. Step 3: Cross multiply
    1,640,220.75x = 3,550,009.50 × 3,550,009.50
  4. Step 4: Simplify right side
    1,640,220.75x = 12,602,567,450,090.25
  5. Step 5: Solve for x
    x = 12,602,567,450,090.25/1,640,220.75
  6. Step 6: Final answer
    x = 7,683,458.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.