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Finding the Third Proportional to 1,085,738 and 1,597,029

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Solution

The third proportional to 1,085,738 and 1,597,029 is: 2,349,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,738 : 1,597,029 = 1,597,029 : x
  2. Step 2: Convert to fraction form
    1,085,738/1,597,029 = 1,597,029/x
  3. Step 3: Cross multiply
    1,085,738x = 1,597,029 × 1,597,029
  4. Step 4: Simplify right side
    1,085,738x = 2,550,501,626,841
  5. Step 5: Solve for x
    x = 2,550,501,626,841/1,085,738
  6. Step 6: Final answer
    x = 2,349,094.93

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