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Finding the Third Proportional to 646,554 and 1,405,022

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Solution

The third proportional to 646,554 and 1,405,022 is: 3,053,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,554 : 1,405,022 = 1,405,022 : x
  2. Step 2: Convert to fraction form
    646,554/1,405,022 = 1,405,022/x
  3. Step 3: Cross multiply
    646,554x = 1,405,022 × 1,405,022
  4. Step 4: Simplify right side
    646,554x = 1,974,086,820,484
  5. Step 5: Solve for x
    x = 1,974,086,820,484/646,554
  6. Step 6: Final answer
    x = 3,053,243.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.