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Finding the Third Proportional to 914,138 and 1,985,524

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Solution

The third proportional to 914,138 and 1,985,524 is: 4,312,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,138 : 1,985,524 = 1,985,524 : x
  2. Step 2: Convert to fraction form
    914,138/1,985,524 = 1,985,524/x
  3. Step 3: Cross multiply
    914,138x = 1,985,524 × 1,985,524
  4. Step 4: Simplify right side
    914,138x = 3,942,305,554,576
  5. Step 5: Solve for x
    x = 3,942,305,554,576/914,138
  6. Step 6: Final answer
    x = 4,312,593.45

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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.