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Finding the Third Proportional to 1,945,158 and 3,125,319

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Solution

The third proportional to 1,945,158 and 3,125,319 is: 5,021,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,158 : 3,125,319 = 3,125,319 : x
  2. Step 2: Convert to fraction form
    1,945,158/3,125,319 = 3,125,319/x
  3. Step 3: Cross multiply
    1,945,158x = 3,125,319 × 3,125,319
  4. Step 4: Simplify right side
    1,945,158x = 9,767,618,851,761
  5. Step 5: Solve for x
    x = 9,767,618,851,761/1,945,158
  6. Step 6: Final answer
    x = 5,021,504.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.