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Finding the Third Proportional to 462,738 and 938,355

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Solution

The third proportional to 462,738 and 938,355 is: 1,902,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,738 : 938,355 = 938,355 : x
  2. Step 2: Convert to fraction form
    462,738/938,355 = 938,355/x
  3. Step 3: Cross multiply
    462,738x = 938,355 × 938,355
  4. Step 4: Simplify right side
    462,738x = 880,510,106,025
  5. Step 5: Solve for x
    x = 880,510,106,025/462,738
  6. Step 6: Final answer
    x = 1,902,826.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.