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Finding the Third Proportional to 826,916 and 1,245,213

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Solution

The third proportional to 826,916 and 1,245,213 is: 1,875,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,916 : 1,245,213 = 1,245,213 : x
  2. Step 2: Convert to fraction form
    826,916/1,245,213 = 1,245,213/x
  3. Step 3: Cross multiply
    826,916x = 1,245,213 × 1,245,213
  4. Step 4: Simplify right side
    826,916x = 1,550,555,415,369
  5. Step 5: Solve for x
    x = 1,550,555,415,369/826,916
  6. Step 6: Final answer
    x = 1,875,106.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.