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Finding the Third Proportional to 423,948 and 898,440

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Solution

The third proportional to 423,948 and 898,440 is: 1,903,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,948 : 898,440 = 898,440 : x
  2. Step 2: Convert to fraction form
    423,948/898,440 = 898,440/x
  3. Step 3: Cross multiply
    423,948x = 898,440 × 898,440
  4. Step 4: Simplify right side
    423,948x = 807,194,433,600
  5. Step 5: Solve for x
    x = 807,194,433,600/423,948
  6. Step 6: Final answer
    x = 1,903,993.97

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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.