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Finding the Third Proportional to 651,288 and 1,412,400

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Solution

The third proportional to 651,288 and 1,412,400 is: 3,062,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,288 : 1,412,400 = 1,412,400 : x
  2. Step 2: Convert to fraction form
    651,288/1,412,400 = 1,412,400/x
  3. Step 3: Cross multiply
    651,288x = 1,412,400 × 1,412,400
  4. Step 4: Simplify right side
    651,288x = 1,994,873,760,000
  5. Step 5: Solve for x
    x = 1,994,873,760,000/651,288
  6. Step 6: Final answer
    x = 3,062,967.17

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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.