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Finding the Third Proportional to 634,986 and 972,708.75

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Solution

The third proportional to 634,986 and 972,708.75 is: 1,490,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,986 : 972,708.75 = 972,708.75 : x
  2. Step 2: Convert to fraction form
    634,986/972,708.75 = 972,708.75/x
  3. Step 3: Cross multiply
    634,986x = 972,708.75 × 972,708.75
  4. Step 4: Simplify right side
    634,986x = 946,162,312,326.56
  5. Step 5: Solve for x
    x = 946,162,312,326.56/634,986
  6. Step 6: Final answer
    x = 1,490,052.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.