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Finding the Third Proportional to 624,856 and 1,294,022

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Solution

The third proportional to 624,856 and 1,294,022 is: 2,679,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,856 : 1,294,022 = 1,294,022 : x
  2. Step 2: Convert to fraction form
    624,856/1,294,022 = 1,294,022/x
  3. Step 3: Cross multiply
    624,856x = 1,294,022 × 1,294,022
  4. Step 4: Simplify right side
    624,856x = 1,674,492,936,484
  5. Step 5: Solve for x
    x = 1,674,492,936,484/624,856
  6. Step 6: Final answer
    x = 2,679,806.13

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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.