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Finding the Third Proportional to 1,985,938 and 4,286,748

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Solution

The third proportional to 1,985,938 and 4,286,748 is: 9,253,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,938 : 4,286,748 = 4,286,748 : x
  2. Step 2: Convert to fraction form
    1,985,938/4,286,748 = 4,286,748/x
  3. Step 3: Cross multiply
    1,985,938x = 4,286,748 × 4,286,748
  4. Step 4: Simplify right side
    1,985,938x = 18,376,208,415,504
  5. Step 5: Solve for x
    x = 18,376,208,415,504/1,985,938
  6. Step 6: Final answer
    x = 9,253,163.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.