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Finding the Third Proportional to 1,640,170 and 2,308,712

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Solution

The third proportional to 1,640,170 and 2,308,712 is: 3,249,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,170 : 2,308,712 = 2,308,712 : x
  2. Step 2: Convert to fraction form
    1,640,170/2,308,712 = 2,308,712/x
  3. Step 3: Cross multiply
    1,640,170x = 2,308,712 × 2,308,712
  4. Step 4: Simplify right side
    1,640,170x = 5,330,151,098,944
  5. Step 5: Solve for x
    x = 5,330,151,098,944/1,640,170
  6. Step 6: Final answer
    x = 3,249,755.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.