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Finding the Third Proportional to 677,277 and 1,480,482

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Solution

The third proportional to 677,277 and 1,480,482 is: 3,236,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,277 : 1,480,482 = 1,480,482 : x
  2. Step 2: Convert to fraction form
    677,277/1,480,482 = 1,480,482/x
  3. Step 3: Cross multiply
    677,277x = 1,480,482 × 1,480,482
  4. Step 4: Simplify right side
    677,277x = 2,191,826,952,324
  5. Step 5: Solve for x
    x = 2,191,826,952,324/677,277
  6. Step 6: Final answer
    x = 3,236,234.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.