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Finding the Third Proportional to 1,638,938 and 3,576,748

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Solution

The third proportional to 1,638,938 and 3,576,748 is: 7,805,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,938 : 3,576,748 = 3,576,748 : x
  2. Step 2: Convert to fraction form
    1,638,938/3,576,748 = 3,576,748/x
  3. Step 3: Cross multiply
    1,638,938x = 3,576,748 × 3,576,748
  4. Step 4: Simplify right side
    1,638,938x = 12,793,126,255,504
  5. Step 5: Solve for x
    x = 12,793,126,255,504/1,638,938
  6. Step 6: Final answer
    x = 7,805,741.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.