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Finding the Third Proportional to 826,342.50 and 1,276,881

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Solution

The third proportional to 826,342.50 and 1,276,881 is: 1,973,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,342.50 : 1,276,881 = 1,276,881 : x
  2. Step 2: Convert to fraction form
    826,342.50/1,276,881 = 1,276,881/x
  3. Step 3: Cross multiply
    826,342.50x = 1,276,881 × 1,276,881
  4. Step 4: Simplify right side
    826,342.50x = 1,630,425,088,161
  5. Step 5: Solve for x
    x = 1,630,425,088,161/826,342.50
  6. Step 6: Final answer
    x = 1,973,062.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.