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Finding the Third Proportional to 2,159,872 and 4,640,272

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Solution

The third proportional to 2,159,872 and 4,640,272 is: 9,969,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,872 : 4,640,272 = 4,640,272 : x
  2. Step 2: Convert to fraction form
    2,159,872/4,640,272 = 4,640,272/x
  3. Step 3: Cross multiply
    2,159,872x = 4,640,272 × 4,640,272
  4. Step 4: Simplify right side
    2,159,872x = 21,532,124,233,984
  5. Step 5: Solve for x
    x = 21,532,124,233,984/2,159,872
  6. Step 6: Final answer
    x = 9,969,166.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.