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Finding the Third Proportional to 759,938 and 1,621,580

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Solution

The third proportional to 759,938 and 1,621,580 is: 3,460,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,938 : 1,621,580 = 1,621,580 : x
  2. Step 2: Convert to fraction form
    759,938/1,621,580 = 1,621,580/x
  3. Step 3: Cross multiply
    759,938x = 1,621,580 × 1,621,580
  4. Step 4: Simplify right side
    759,938x = 2,629,521,696,400
  5. Step 5: Solve for x
    x = 2,629,521,696,400/759,938
  6. Step 6: Final answer
    x = 3,460,179.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.