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Finding the Third Proportional to 972,342 and 1,471,927.50

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Solution

The third proportional to 972,342 and 1,471,927.50 is: 2,228,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,342 : 1,471,927.50 = 1,471,927.50 : x
  2. Step 2: Convert to fraction form
    972,342/1,471,927.50 = 1,471,927.50/x
  3. Step 3: Cross multiply
    972,342x = 1,471,927.50 × 1,471,927.50
  4. Step 4: Simplify right side
    972,342x = 2,166,570,565,256.25
  5. Step 5: Solve for x
    x = 2,166,570,565,256.25/972,342
  6. Step 6: Final answer
    x = 2,228,198.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.