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Finding the Third Proportional to 3,012,506.25 and 4,589,347.50

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Solution

The third proportional to 3,012,506.25 and 4,589,347.50 is: 6,991,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012,506.25 : 4,589,347.50 = 4,589,347.50 : x
  2. Step 2: Convert to fraction form
    3,012,506.25/4,589,347.50 = 4,589,347.50/x
  3. Step 3: Cross multiply
    3,012,506.25x = 4,589,347.50 × 4,589,347.50
  4. Step 4: Simplify right side
    3,012,506.25x = 21,062,110,475,756.25
  5. Step 5: Solve for x
    x = 21,062,110,475,756.25/3,012,506.25
  6. Step 6: Final answer
    x = 6,991,557.44

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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.