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Finding the Third Proportional to 849,896 and 1,839,184

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Solution

The third proportional to 849,896 and 1,839,184 is: 3,980,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,896 : 1,839,184 = 1,839,184 : x
  2. Step 2: Convert to fraction form
    849,896/1,839,184 = 1,839,184/x
  3. Step 3: Cross multiply
    849,896x = 1,839,184 × 1,839,184
  4. Step 4: Simplify right side
    849,896x = 3,382,597,785,856
  5. Step 5: Solve for x
    x = 3,382,597,785,856/849,896
  6. Step 6: Final answer
    x = 3,980,013.77

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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.