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Finding the Third Proportional to 638,152 and 987,998

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Solution

The third proportional to 638,152 and 987,998 is: 1,529,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,152 : 987,998 = 987,998 : x
  2. Step 2: Convert to fraction form
    638,152/987,998 = 987,998/x
  3. Step 3: Cross multiply
    638,152x = 987,998 × 987,998
  4. Step 4: Simplify right side
    638,152x = 976,140,048,004
  5. Step 5: Solve for x
    x = 976,140,048,004/638,152
  6. Step 6: Final answer
    x = 1,529,635.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.