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Finding the Third Proportional to 972,573 and 1,562,652

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Solution

The third proportional to 972,573 and 1,562,652 is: 2,510,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,573 : 1,562,652 = 1,562,652 : x
  2. Step 2: Convert to fraction form
    972,573/1,562,652 = 1,562,652/x
  3. Step 3: Cross multiply
    972,573x = 1,562,652 × 1,562,652
  4. Step 4: Simplify right side
    972,573x = 2,441,881,273,104
  5. Step 5: Solve for x
    x = 2,441,881,273,104/972,573
  6. Step 6: Final answer
    x = 2,510,743.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.