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Finding the Third Proportional to 750,118 and 1,641,014

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Solution

The third proportional to 750,118 and 1,641,014 is: 3,590,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,118 : 1,641,014 = 1,641,014 : x
  2. Step 2: Convert to fraction form
    750,118/1,641,014 = 1,641,014/x
  3. Step 3: Cross multiply
    750,118x = 1,641,014 × 1,641,014
  4. Step 4: Simplify right side
    750,118x = 2,692,926,948,196
  5. Step 5: Solve for x
    x = 2,692,926,948,196/750,118
  6. Step 6: Final answer
    x = 3,590,004.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.