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Finding the Third Proportional to 3,281,566.50 and 4,967,617.50

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Solution

The third proportional to 3,281,566.50 and 4,967,617.50 is: 7,519,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,566.50 : 4,967,617.50 = 4,967,617.50 : x
  2. Step 2: Convert to fraction form
    3,281,566.50/4,967,617.50 = 4,967,617.50/x
  3. Step 3: Cross multiply
    3,281,566.50x = 4,967,617.50 × 4,967,617.50
  4. Step 4: Simplify right side
    3,281,566.50x = 24,677,223,626,306.25
  5. Step 5: Solve for x
    x = 24,677,223,626,306.25/3,281,566.50
  6. Step 6: Final answer
    x = 7,519,952.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.