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Finding the Third Proportional to 972,345 and 1,471,932

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Solution

The third proportional to 972,345 and 1,471,932 is: 2,228,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,345 : 1,471,932 = 1,471,932 : x
  2. Step 2: Convert to fraction form
    972,345/1,471,932 = 1,471,932/x
  3. Step 3: Cross multiply
    972,345x = 1,471,932 × 1,471,932
  4. Step 4: Simplify right side
    972,345x = 2,166,583,812,624
  5. Step 5: Solve for x
    x = 2,166,583,812,624/972,345
  6. Step 6: Final answer
    x = 2,228,204.82

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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.