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Finding the Third Proportional to 447,684 and 974,082

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Solution

The third proportional to 447,684 and 974,082 is: 2,119,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,684 : 974,082 = 974,082 : x
  2. Step 2: Convert to fraction form
    447,684/974,082 = 974,082/x
  3. Step 3: Cross multiply
    447,684x = 974,082 × 974,082
  4. Step 4: Simplify right side
    447,684x = 948,835,742,724
  5. Step 5: Solve for x
    x = 948,835,742,724/447,684
  6. Step 6: Final answer
    x = 2,119,431.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.