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Finding the Third Proportional to 4,630,435.50 and 5,184,019.50

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Solution

The third proportional to 4,630,435.50 and 5,184,019.50 is: 5,803,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630,435.50 : 5,184,019.50 = 5,184,019.50 : x
  2. Step 2: Convert to fraction form
    4,630,435.50/5,184,019.50 = 5,184,019.50/x
  3. Step 3: Cross multiply
    4,630,435.50x = 5,184,019.50 × 5,184,019.50
  4. Step 4: Simplify right side
    4,630,435.50x = 26,874,058,176,380.25
  5. Step 5: Solve for x
    x = 26,874,058,176,380.25/4,630,435.50
  6. Step 6: Final answer
    x = 5,803,786.31

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.