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Finding the Third Proportional to 603,647 and 845,998

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Solution

The third proportional to 603,647 and 845,998 is: 1,185,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,647 : 845,998 = 845,998 : x
  2. Step 2: Convert to fraction form
    603,647/845,998 = 845,998/x
  3. Step 3: Cross multiply
    603,647x = 845,998 × 845,998
  4. Step 4: Simplify right side
    603,647x = 715,712,616,004
  5. Step 5: Solve for x
    x = 715,712,616,004/603,647
  6. Step 6: Final answer
    x = 1,185,647.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.