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Finding the Third Proportional to 751,826 and 1,621,017

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Solution

The third proportional to 751,826 and 1,621,017 is: 3,495,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,826 : 1,621,017 = 1,621,017 : x
  2. Step 2: Convert to fraction form
    751,826/1,621,017 = 1,621,017/x
  3. Step 3: Cross multiply
    751,826x = 1,621,017 × 1,621,017
  4. Step 4: Simplify right side
    751,826x = 2,627,696,114,289
  5. Step 5: Solve for x
    x = 2,627,696,114,289/751,826
  6. Step 6: Final answer
    x = 3,495,085.45

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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.