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Finding the Third Proportional to 786,298.50 and 1,848,242.25

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Solution

The third proportional to 786,298.50 and 1,848,242.25 is: 4,344,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,298.50 : 1,848,242.25 = 1,848,242.25 : x
  2. Step 2: Convert to fraction form
    786,298.50/1,848,242.25 = 1,848,242.25/x
  3. Step 3: Cross multiply
    786,298.50x = 1,848,242.25 × 1,848,242.25
  4. Step 4: Simplify right side
    786,298.50x = 3,415,999,414,685.06
  5. Step 5: Solve for x
    x = 3,415,999,414,685.06/786,298.50
  6. Step 6: Final answer
    x = 4,344,405.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.