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Finding the Third Proportional to 744,640 and 1,608,768

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Solution

The third proportional to 744,640 and 1,608,768 is: 3,475,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,640 : 1,608,768 = 1,608,768 : x
  2. Step 2: Convert to fraction form
    744,640/1,608,768 = 1,608,768/x
  3. Step 3: Cross multiply
    744,640x = 1,608,768 × 1,608,768
  4. Step 4: Simplify right side
    744,640x = 2,588,134,477,824
  5. Step 5: Solve for x
    x = 2,588,134,477,824/744,640
  6. Step 6: Final answer
    x = 3,475,685.54

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