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Finding the Third Proportional to 423,802 and 898,148

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Solution

The third proportional to 423,802 and 898,148 is: 1,903,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,802 : 898,148 = 898,148 : x
  2. Step 2: Convert to fraction form
    423,802/898,148 = 898,148/x
  3. Step 3: Cross multiply
    423,802x = 898,148 × 898,148
  4. Step 4: Simplify right side
    423,802x = 806,669,829,904
  5. Step 5: Solve for x
    x = 806,669,829,904/423,802
  6. Step 6: Final answer
    x = 1,903,412.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.