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Finding the Third Proportional to 466,369 and 1,019,732

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Solution

The third proportional to 466,369 and 1,019,732 is: 2,229,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,369 : 1,019,732 = 1,019,732 : x
  2. Step 2: Convert to fraction form
    466,369/1,019,732 = 1,019,732/x
  3. Step 3: Cross multiply
    466,369x = 1,019,732 × 1,019,732
  4. Step 4: Simplify right side
    466,369x = 1,039,853,351,824
  5. Step 5: Solve for x
    x = 1,039,853,351,824/466,369
  6. Step 6: Final answer
    x = 2,229,679.40

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