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Finding the Third Proportional to 851,220 and 1,853,640

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Solution

The third proportional to 851,220 and 1,853,640 is: 4,036,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,220 : 1,853,640 = 1,853,640 : x
  2. Step 2: Convert to fraction form
    851,220/1,853,640 = 1,853,640/x
  3. Step 3: Cross multiply
    851,220x = 1,853,640 × 1,853,640
  4. Step 4: Simplify right side
    851,220x = 3,435,981,249,600
  5. Step 5: Solve for x
    x = 3,435,981,249,600/851,220
  6. Step 6: Final answer
    x = 4,036,537.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.