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Finding the Third Proportional to 673,335 and 1,441,251

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Solution

The third proportional to 673,335 and 1,441,251 is: 3,084,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,335 : 1,441,251 = 1,441,251 : x
  2. Step 2: Convert to fraction form
    673,335/1,441,251 = 1,441,251/x
  3. Step 3: Cross multiply
    673,335x = 1,441,251 × 1,441,251
  4. Step 4: Simplify right side
    673,335x = 2,077,204,445,001
  5. Step 5: Solve for x
    x = 2,077,204,445,001/673,335
  6. Step 6: Final answer
    x = 3,084,949.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.