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Finding the Third Proportional to 641,412 and 1,403,112

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Solution

The third proportional to 641,412 and 1,403,112 is: 3,069,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,412 : 1,403,112 = 1,403,112 : x
  2. Step 2: Convert to fraction form
    641,412/1,403,112 = 1,403,112/x
  3. Step 3: Cross multiply
    641,412x = 1,403,112 × 1,403,112
  4. Step 4: Simplify right side
    641,412x = 1,968,723,284,544
  5. Step 5: Solve for x
    x = 1,968,723,284,544/641,412
  6. Step 6: Final answer
    x = 3,069,358.36

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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.