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Finding the Third Proportional to 416,724 and 898,356

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Solution

The third proportional to 416,724 and 898,356 is: 1,936,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,724 : 898,356 = 898,356 : x
  2. Step 2: Convert to fraction form
    416,724/898,356 = 898,356/x
  3. Step 3: Cross multiply
    416,724x = 898,356 × 898,356
  4. Step 4: Simplify right side
    416,724x = 807,043,502,736
  5. Step 5: Solve for x
    x = 807,043,502,736/416,724
  6. Step 6: Final answer
    x = 1,936,637.93

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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.