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Finding the Third Proportional to 736,965 and 1,603,678

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Solution

The third proportional to 736,965 and 1,603,678 is: 3,489,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,965 : 1,603,678 = 1,603,678 : x
  2. Step 2: Convert to fraction form
    736,965/1,603,678 = 1,603,678/x
  3. Step 3: Cross multiply
    736,965x = 1,603,678 × 1,603,678
  4. Step 4: Simplify right side
    736,965x = 2,571,783,127,684
  5. Step 5: Solve for x
    x = 2,571,783,127,684/736,965
  6. Step 6: Final answer
    x = 3,489,695.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.