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Finding the Third Proportional to 624,855 and 1,294,017

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Solution

The third proportional to 624,855 and 1,294,017 is: 2,679,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,855 : 1,294,017 = 1,294,017 : x
  2. Step 2: Convert to fraction form
    624,855/1,294,017 = 1,294,017/x
  3. Step 3: Cross multiply
    624,855x = 1,294,017 × 1,294,017
  4. Step 4: Simplify right side
    624,855x = 1,674,479,996,289
  5. Step 5: Solve for x
    x = 1,674,479,996,289/624,855
  6. Step 6: Final answer
    x = 2,679,789.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.