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Finding the Third Proportional to 848,433 and 1,829,706

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Solution

The third proportional to 848,433 and 1,829,706 is: 3,945,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,433 : 1,829,706 = 1,829,706 : x
  2. Step 2: Convert to fraction form
    848,433/1,829,706 = 1,829,706/x
  3. Step 3: Cross multiply
    848,433x = 1,829,706 × 1,829,706
  4. Step 4: Simplify right side
    848,433x = 3,347,824,046,436
  5. Step 5: Solve for x
    x = 3,347,824,046,436/848,433
  6. Step 6: Final answer
    x = 3,945,890.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.