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Finding the Third Proportional to 532,762 and 1,133,330

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Solution

The third proportional to 532,762 and 1,133,330 is: 2,410,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,762 : 1,133,330 = 1,133,330 : x
  2. Step 2: Convert to fraction form
    532,762/1,133,330 = 1,133,330/x
  3. Step 3: Cross multiply
    532,762x = 1,133,330 × 1,133,330
  4. Step 4: Simplify right side
    532,762x = 1,284,436,888,900
  5. Step 5: Solve for x
    x = 1,284,436,888,900/532,762
  6. Step 6: Final answer
    x = 2,410,901.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.