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Finding the Third Proportional to 849,678 and 1,853,940

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Solution

The third proportional to 849,678 and 1,853,940 is: 4,045,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,678 : 1,853,940 = 1,853,940 : x
  2. Step 2: Convert to fraction form
    849,678/1,853,940 = 1,853,940/x
  3. Step 3: Cross multiply
    849,678x = 1,853,940 × 1,853,940
  4. Step 4: Simplify right side
    849,678x = 3,437,093,523,600
  5. Step 5: Solve for x
    x = 3,437,093,523,600/849,678
  6. Step 6: Final answer
    x = 4,045,171.85

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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.