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Finding the Third Proportional to 957,494 and 1,456,135.50

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Solution

The third proportional to 957,494 and 1,456,135.50 is: 2,214,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,494 : 1,456,135.50 = 1,456,135.50 : x
  2. Step 2: Convert to fraction form
    957,494/1,456,135.50 = 1,456,135.50/x
  3. Step 3: Cross multiply
    957,494x = 1,456,135.50 × 1,456,135.50
  4. Step 4: Simplify right side
    957,494x = 2,120,330,594,360.25
  5. Step 5: Solve for x
    x = 2,120,330,594,360.25/957,494
  6. Step 6: Final answer
    x = 2,214,458.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.