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Finding the Third Proportional to 733,477 and 1,122,011

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Solution

The third proportional to 733,477 and 1,122,011 is: 1,716,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,477 : 1,122,011 = 1,122,011 : x
  2. Step 2: Convert to fraction form
    733,477/1,122,011 = 1,122,011/x
  3. Step 3: Cross multiply
    733,477x = 1,122,011 × 1,122,011
  4. Step 4: Simplify right side
    733,477x = 1,258,908,684,121
  5. Step 5: Solve for x
    x = 1,258,908,684,121/733,477
  6. Step 6: Final answer
    x = 1,716,357.41

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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.