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Finding the Third Proportional to 1,149,232.50 and 1,739,826

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Solution

The third proportional to 1,149,232.50 and 1,739,826 is: 2,633,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,232.50 : 1,739,826 = 1,739,826 : x
  2. Step 2: Convert to fraction form
    1,149,232.50/1,739,826 = 1,739,826/x
  3. Step 3: Cross multiply
    1,149,232.50x = 1,739,826 × 1,739,826
  4. Step 4: Simplify right side
    1,149,232.50x = 3,026,994,510,276
  5. Step 5: Solve for x
    x = 3,026,994,510,276/1,149,232.50
  6. Step 6: Final answer
    x = 2,633,927.00

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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.