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Finding the Third Proportional to 849,912 and 1,856,640

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Solution

The third proportional to 849,912 and 1,856,640 is: 4,055,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,912 : 1,856,640 = 1,856,640 : x
  2. Step 2: Convert to fraction form
    849,912/1,856,640 = 1,856,640/x
  3. Step 3: Cross multiply
    849,912x = 1,856,640 × 1,856,640
  4. Step 4: Simplify right side
    849,912x = 3,447,112,089,600
  5. Step 5: Solve for x
    x = 3,447,112,089,600/849,912
  6. Step 6: Final answer
    x = 4,055,845.89

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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.