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Finding the Third Proportional to 466,825 and 1,024,047

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Solution

The third proportional to 466,825 and 1,024,047 is: 2,246,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,825 : 1,024,047 = 1,024,047 : x
  2. Step 2: Convert to fraction form
    466,825/1,024,047 = 1,024,047/x
  3. Step 3: Cross multiply
    466,825x = 1,024,047 × 1,024,047
  4. Step 4: Simplify right side
    466,825x = 1,048,672,258,209
  5. Step 5: Solve for x
    x = 1,048,672,258,209/466,825
  6. Step 6: Final answer
    x = 2,246,392.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.