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Finding the Third Proportional to 659,953 and 1,020,203

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Solution

The third proportional to 659,953 and 1,020,203 is: 1,577,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,953 : 1,020,203 = 1,020,203 : x
  2. Step 2: Convert to fraction form
    659,953/1,020,203 = 1,020,203/x
  3. Step 3: Cross multiply
    659,953x = 1,020,203 × 1,020,203
  4. Step 4: Simplify right side
    659,953x = 1,040,814,161,209
  5. Step 5: Solve for x
    x = 1,040,814,161,209/659,953
  6. Step 6: Final answer
    x = 1,577,103.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.