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Finding the Third Proportional to 785,346 and 1,709,736

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Solution

The third proportional to 785,346 and 1,709,736 is: 3,722,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,346 : 1,709,736 = 1,709,736 : x
  2. Step 2: Convert to fraction form
    785,346/1,709,736 = 1,709,736/x
  3. Step 3: Cross multiply
    785,346x = 1,709,736 × 1,709,736
  4. Step 4: Simplify right side
    785,346x = 2,923,197,189,696
  5. Step 5: Solve for x
    x = 2,923,197,189,696/785,346
  6. Step 6: Final answer
    x = 3,722,177.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.