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Finding the Third Proportional to 794,816 and 1,195,482

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Solution

The third proportional to 794,816 and 1,195,482 is: 1,798,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,816 : 1,195,482 = 1,195,482 : x
  2. Step 2: Convert to fraction form
    794,816/1,195,482 = 1,195,482/x
  3. Step 3: Cross multiply
    794,816x = 1,195,482 × 1,195,482
  4. Step 4: Simplify right side
    794,816x = 1,429,177,212,324
  5. Step 5: Solve for x
    x = 1,429,177,212,324/794,816
  6. Step 6: Final answer
    x = 1,798,123.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.