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Finding the Third Proportional to 784,467 and 1,211,303

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Solution

The third proportional to 784,467 and 1,211,303 is: 1,870,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,467 : 1,211,303 = 1,211,303 : x
  2. Step 2: Convert to fraction form
    784,467/1,211,303 = 1,211,303/x
  3. Step 3: Cross multiply
    784,467x = 1,211,303 × 1,211,303
  4. Step 4: Simplify right side
    784,467x = 1,467,254,957,809
  5. Step 5: Solve for x
    x = 1,467,254,957,809/784,467
  6. Step 6: Final answer
    x = 1,870,384.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.