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Finding the Third Proportional to 758,826 and 1,143,243

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Solution

The third proportional to 758,826 and 1,143,243 is: 1,722,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,826 : 1,143,243 = 1,143,243 : x
  2. Step 2: Convert to fraction form
    758,826/1,143,243 = 1,143,243/x
  3. Step 3: Cross multiply
    758,826x = 1,143,243 × 1,143,243
  4. Step 4: Simplify right side
    758,826x = 1,307,004,557,049
  5. Step 5: Solve for x
    x = 1,307,004,557,049/758,826
  6. Step 6: Final answer
    x = 1,722,403.50

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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.