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Finding the Third Proportional to 972,668 and 1,455,112

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Solution

The third proportional to 972,668 and 1,455,112 is: 2,176,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,668 : 1,455,112 = 1,455,112 : x
  2. Step 2: Convert to fraction form
    972,668/1,455,112 = 1,455,112/x
  3. Step 3: Cross multiply
    972,668x = 1,455,112 × 1,455,112
  4. Step 4: Simplify right side
    972,668x = 2,117,350,932,544
  5. Step 5: Solve for x
    x = 2,117,350,932,544/972,668
  6. Step 6: Final answer
    x = 2,176,848.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.