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Finding the Third Proportional to 416,196 and 898,056

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Solution

The third proportional to 416,196 and 898,056 is: 1,937,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,196 : 898,056 = 898,056 : x
  2. Step 2: Convert to fraction form
    416,196/898,056 = 898,056/x
  3. Step 3: Cross multiply
    416,196x = 898,056 × 898,056
  4. Step 4: Simplify right side
    416,196x = 806,504,579,136
  5. Step 5: Solve for x
    x = 806,504,579,136/416,196
  6. Step 6: Final answer
    x = 1,937,799.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.