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Finding the Third Proportional to 751,242 and 1,771,620

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Solution

The third proportional to 751,242 and 1,771,620 is: 4,177,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,242 : 1,771,620 = 1,771,620 : x
  2. Step 2: Convert to fraction form
    751,242/1,771,620 = 1,771,620/x
  3. Step 3: Cross multiply
    751,242x = 1,771,620 × 1,771,620
  4. Step 4: Simplify right side
    751,242x = 3,138,637,424,400
  5. Step 5: Solve for x
    x = 3,138,637,424,400/751,242
  6. Step 6: Final answer
    x = 4,177,931.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.