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Finding the Third Proportional to 786,294 and 1,848,231

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Solution

The third proportional to 786,294 and 1,848,231 is: 4,344,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,294 : 1,848,231 = 1,848,231 : x
  2. Step 2: Convert to fraction form
    786,294/1,848,231 = 1,848,231/x
  3. Step 3: Cross multiply
    786,294x = 1,848,231 × 1,848,231
  4. Step 4: Simplify right side
    786,294x = 3,415,957,829,361
  5. Step 5: Solve for x
    x = 3,415,957,829,361/786,294
  6. Step 6: Final answer
    x = 4,344,377.33

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