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Finding the Third Proportional to 621,874 and 1,348,724

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Solution

The third proportional to 621,874 and 1,348,724 is: 2,925,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,874 : 1,348,724 = 1,348,724 : x
  2. Step 2: Convert to fraction form
    621,874/1,348,724 = 1,348,724/x
  3. Step 3: Cross multiply
    621,874x = 1,348,724 × 1,348,724
  4. Step 4: Simplify right side
    621,874x = 1,819,056,428,176
  5. Step 5: Solve for x
    x = 1,819,056,428,176/621,874
  6. Step 6: Final answer
    x = 2,925,120.57

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Why These Related Problems?

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