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Finding the Third Proportional to 778,855 and 1,682,270

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Solution

The third proportional to 778,855 and 1,682,270 is: 3,633,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,855 : 1,682,270 = 1,682,270 : x
  2. Step 2: Convert to fraction form
    778,855/1,682,270 = 1,682,270/x
  3. Step 3: Cross multiply
    778,855x = 1,682,270 × 1,682,270
  4. Step 4: Simplify right side
    778,855x = 2,830,032,352,900
  5. Step 5: Solve for x
    x = 2,830,032,352,900/778,855
  6. Step 6: Final answer
    x = 3,633,580.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.