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Finding the Third Proportional to 611,812 and 933,270

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Solution

The third proportional to 611,812 and 933,270 is: 1,423,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,812 : 933,270 = 933,270 : x
  2. Step 2: Convert to fraction form
    611,812/933,270 = 933,270/x
  3. Step 3: Cross multiply
    611,812x = 933,270 × 933,270
  4. Step 4: Simplify right side
    611,812x = 870,992,892,900
  5. Step 5: Solve for x
    x = 870,992,892,900/611,812
  6. Step 6: Final answer
    x = 1,423,628.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.