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Finding the Third Proportional to 849,904 and 1,839,200

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Solution

The third proportional to 849,904 and 1,839,200 is: 3,980,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,904 : 1,839,200 = 1,839,200 : x
  2. Step 2: Convert to fraction form
    849,904/1,839,200 = 1,839,200/x
  3. Step 3: Cross multiply
    849,904x = 1,839,200 × 1,839,200
  4. Step 4: Simplify right side
    849,904x = 3,382,656,640,000
  5. Step 5: Solve for x
    x = 3,382,656,640,000/849,904
  6. Step 6: Final answer
    x = 3,980,045.56

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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.