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Finding the Third Proportional to 1,029,945 and 1,508,046

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Solution

The third proportional to 1,029,945 and 1,508,046 is: 2,208,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,945 : 1,508,046 = 1,508,046 : x
  2. Step 2: Convert to fraction form
    1,029,945/1,508,046 = 1,508,046/x
  3. Step 3: Cross multiply
    1,029,945x = 1,508,046 × 1,508,046
  4. Step 4: Simplify right side
    1,029,945x = 2,274,202,738,116
  5. Step 5: Solve for x
    x = 2,274,202,738,116/1,029,945
  6. Step 6: Final answer
    x = 2,208,081.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.