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Finding the Third Proportional to 2,398,774.50 and 5,662,674.56

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Solution

The third proportional to 2,398,774.50 and 5,662,674.56 is: 13,367,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,774.50 : 5,662,674.56 = 5,662,674.56 : x
  2. Step 2: Convert to fraction form
    2,398,774.50/5,662,674.56 = 5,662,674.56/x
  3. Step 3: Cross multiply
    2,398,774.50x = 5,662,674.56 × 5,662,674.56
  4. Step 4: Simplify right side
    2,398,774.50x = 32,065,883,200,784.57
  5. Step 5: Solve for x
    x = 32,065,883,200,784.57/2,398,774.50
  6. Step 6: Final answer
    x = 13,367,610.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.