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Finding the Third Proportional to 1,640,532 and 3,407,090

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Solution

The third proportional to 1,640,532 and 3,407,090 is: 7,075,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,532 : 3,407,090 = 3,407,090 : x
  2. Step 2: Convert to fraction form
    1,640,532/3,407,090 = 3,407,090/x
  3. Step 3: Cross multiply
    1,640,532x = 3,407,090 × 3,407,090
  4. Step 4: Simplify right side
    1,640,532x = 11,608,262,268,100
  5. Step 5: Solve for x
    x = 11,608,262,268,100/1,640,532
  6. Step 6: Final answer
    x = 7,075,913.34

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.