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Finding the Third Proportional to 856,000 and 2,024,346

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Solution

The third proportional to 856,000 and 2,024,346 is: 4,787,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,000 : 2,024,346 = 2,024,346 : x
  2. Step 2: Convert to fraction form
    856,000/2,024,346 = 2,024,346/x
  3. Step 3: Cross multiply
    856,000x = 2,024,346 × 2,024,346
  4. Step 4: Simplify right side
    856,000x = 4,097,976,727,716
  5. Step 5: Solve for x
    x = 4,097,976,727,716/856,000
  6. Step 6: Final answer
    x = 4,787,355.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.