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Finding the Third Proportional to 3,012,503 and 4,589,342.50

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Solution

The third proportional to 3,012,503 and 4,589,342.50 is: 6,991,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012,503 : 4,589,342.50 = 4,589,342.50 : x
  2. Step 2: Convert to fraction form
    3,012,503/4,589,342.50 = 4,589,342.50/x
  3. Step 3: Cross multiply
    3,012,503x = 4,589,342.50 × 4,589,342.50
  4. Step 4: Simplify right side
    3,012,503x = 21,062,064,582,306.25
  5. Step 5: Solve for x
    x = 21,062,064,582,306.25/3,012,503
  6. Step 6: Final answer
    x = 6,991,549.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.