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Finding the Third Proportional to 677,562 and 1,473,223

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Solution

The third proportional to 677,562 and 1,473,223 is: 3,203,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,562 : 1,473,223 = 1,473,223 : x
  2. Step 2: Convert to fraction form
    677,562/1,473,223 = 1,473,223/x
  3. Step 3: Cross multiply
    677,562x = 1,473,223 × 1,473,223
  4. Step 4: Simplify right side
    677,562x = 2,170,386,007,729
  5. Step 5: Solve for x
    x = 2,170,386,007,729/677,562
  6. Step 6: Final answer
    x = 3,203,228.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.