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Finding the Third Proportional to 1,953,164 and 4,284,512

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Solution

The third proportional to 1,953,164 and 4,284,512 is: 9,398,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,164 : 4,284,512 = 4,284,512 : x
  2. Step 2: Convert to fraction form
    1,953,164/4,284,512 = 4,284,512/x
  3. Step 3: Cross multiply
    1,953,164x = 4,284,512 × 4,284,512
  4. Step 4: Simplify right side
    1,953,164x = 18,357,043,078,144
  5. Step 5: Solve for x
    x = 18,357,043,078,144/1,953,164
  6. Step 6: Final answer
    x = 9,398,618.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.