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Finding the Third Proportional to 1,085,738 and 1,596,171

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Solution

The third proportional to 1,085,738 and 1,596,171 is: 2,346,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,738 : 1,596,171 = 1,596,171 : x
  2. Step 2: Convert to fraction form
    1,085,738/1,596,171 = 1,596,171/x
  3. Step 3: Cross multiply
    1,085,738x = 1,596,171 × 1,596,171
  4. Step 4: Simplify right side
    1,085,738x = 2,547,761,861,241
  5. Step 5: Solve for x
    x = 2,547,761,861,241/1,085,738
  6. Step 6: Final answer
    x = 2,346,571.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.