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Finding the Third Proportional to 673,278 and 1,461,006

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Solution

The third proportional to 673,278 and 1,461,006 is: 3,170,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,278 : 1,461,006 = 1,461,006 : x
  2. Step 2: Convert to fraction form
    673,278/1,461,006 = 1,461,006/x
  3. Step 3: Cross multiply
    673,278x = 1,461,006 × 1,461,006
  4. Step 4: Simplify right side
    673,278x = 2,134,538,532,036
  5. Step 5: Solve for x
    x = 2,134,538,532,036/673,278
  6. Step 6: Final answer
    x = 3,170,367.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.