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Finding the Third Proportional to 613,203 and 1,432,287

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Solution

The third proportional to 613,203 and 1,432,287 is: 3,345,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,203 : 1,432,287 = 1,432,287 : x
  2. Step 2: Convert to fraction form
    613,203/1,432,287 = 1,432,287/x
  3. Step 3: Cross multiply
    613,203x = 1,432,287 × 1,432,287
  4. Step 4: Simplify right side
    613,203x = 2,051,446,050,369
  5. Step 5: Solve for x
    x = 2,051,446,050,369/613,203
  6. Step 6: Final answer
    x = 3,345,459.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.