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Finding the Third Proportional to 972,660 and 1,455,102

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Solution

The third proportional to 972,660 and 1,455,102 is: 2,176,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,660 : 1,455,102 = 1,455,102 : x
  2. Step 2: Convert to fraction form
    972,660/1,455,102 = 1,455,102/x
  3. Step 3: Cross multiply
    972,660x = 1,455,102 × 1,455,102
  4. Step 4: Simplify right side
    972,660x = 2,117,321,830,404
  5. Step 5: Solve for x
    x = 2,117,321,830,404/972,660
  6. Step 6: Final answer
    x = 2,176,836.54

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