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Finding the Third Proportional to 826,488.56 and 1,277,135.44

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Solution

The third proportional to 826,488.56 and 1,277,135.44 is: 1,973,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,488.56 : 1,277,135.44 = 1,277,135.44 : x
  2. Step 2: Convert to fraction form
    826,488.56/1,277,135.44 = 1,277,135.44/x
  3. Step 3: Cross multiply
    826,488.56x = 1,277,135.44 × 1,277,135.44
  4. Step 4: Simplify right side
    826,488.56x = 1,631,074,925,718.32
  5. Step 5: Solve for x
    x = 1,631,074,925,718.32/826,488.56
  6. Step 6: Final answer
    x = 1,973,499.69

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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.