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Finding the Third Proportional to 465,846 and 1,003,020

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Solution

The third proportional to 465,846 and 1,003,020 is: 2,159,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,846 : 1,003,020 = 1,003,020 : x
  2. Step 2: Convert to fraction form
    465,846/1,003,020 = 1,003,020/x
  3. Step 3: Cross multiply
    465,846x = 1,003,020 × 1,003,020
  4. Step 4: Simplify right side
    465,846x = 1,006,049,120,400
  5. Step 5: Solve for x
    x = 1,006,049,120,400/465,846
  6. Step 6: Final answer
    x = 2,159,617.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.