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Finding the Third Proportional to 769,287 and 1,674,033

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Solution

The third proportional to 769,287 and 1,674,033 is: 3,642,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,287 : 1,674,033 = 1,674,033 : x
  2. Step 2: Convert to fraction form
    769,287/1,674,033 = 1,674,033/x
  3. Step 3: Cross multiply
    769,287x = 1,674,033 × 1,674,033
  4. Step 4: Simplify right side
    769,287x = 2,802,386,485,089
  5. Step 5: Solve for x
    x = 2,802,386,485,089/769,287
  6. Step 6: Final answer
    x = 3,642,836.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.