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Finding the Third Proportional to 1,079,506 and 1,584,231

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Solution

The third proportional to 1,079,506 and 1,584,231 is: 2,324,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,506 : 1,584,231 = 1,584,231 : x
  2. Step 2: Convert to fraction form
    1,079,506/1,584,231 = 1,584,231/x
  3. Step 3: Cross multiply
    1,079,506x = 1,584,231 × 1,584,231
  4. Step 4: Simplify right side
    1,079,506x = 2,509,787,861,361
  5. Step 5: Solve for x
    x = 2,509,787,861,361/1,079,506
  6. Step 6: Final answer
    x = 2,324,941.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.