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Finding the Third Proportional to 1,263,927.63 and 2,705,002.25

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Solution

The third proportional to 1,263,927.63 and 2,705,002.25 is: 5,789,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,927.63 : 2,705,002.25 = 2,705,002.25 : x
  2. Step 2: Convert to fraction form
    1,263,927.63/2,705,002.25 = 2,705,002.25/x
  3. Step 3: Cross multiply
    1,263,927.63x = 2,705,002.25 × 2,705,002.25
  4. Step 4: Simplify right side
    1,263,927.63x = 7,317,037,172,505.06
  5. Step 5: Solve for x
    x = 7,317,037,172,505.06/1,263,927.63
  6. Step 6: Final answer
    x = 5,789,126.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.