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Finding the Third Proportional to 1,640,097 and 3,549,762

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Solution

The third proportional to 1,640,097 and 3,549,762 is: 7,682,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,097 : 3,549,762 = 3,549,762 : x
  2. Step 2: Convert to fraction form
    1,640,097/3,549,762 = 3,549,762/x
  3. Step 3: Cross multiply
    1,640,097x = 3,549,762 × 3,549,762
  4. Step 4: Simplify right side
    1,640,097x = 12,600,810,256,644
  5. Step 5: Solve for x
    x = 12,600,810,256,644/1,640,097
  6. Step 6: Final answer
    x = 7,682,966.47

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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.