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Finding the Third Proportional to 1,127,218.50 and 2,293,798.50

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Solution

The third proportional to 1,127,218.50 and 2,293,798.50 is: 4,667,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,218.50 : 2,293,798.50 = 2,293,798.50 : x
  2. Step 2: Convert to fraction form
    1,127,218.50/2,293,798.50 = 2,293,798.50/x
  3. Step 3: Cross multiply
    1,127,218.50x = 2,293,798.50 × 2,293,798.50
  4. Step 4: Simplify right side
    1,127,218.50x = 5,261,511,558,602.25
  5. Step 5: Solve for x
    x = 5,261,511,558,602.25/1,127,218.50
  6. Step 6: Final answer
    x = 4,667,694.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.