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Finding the Third Proportional to 1,670,824 and 2,690,272

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Solution

The third proportional to 1,670,824 and 2,690,272 is: 4,331,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670,824 : 2,690,272 = 2,690,272 : x
  2. Step 2: Convert to fraction form
    1,670,824/2,690,272 = 2,690,272/x
  3. Step 3: Cross multiply
    1,670,824x = 2,690,272 × 2,690,272
  4. Step 4: Simplify right side
    1,670,824x = 7,237,563,433,984
  5. Step 5: Solve for x
    x = 7,237,563,433,984/1,670,824
  6. Step 6: Final answer
    x = 4,331,732.99

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.