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Finding the Third Proportional to 996,820 and 2,124,127

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Solution

The third proportional to 996,820 and 2,124,127 is: 4,526,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,820 : 2,124,127 = 2,124,127 : x
  2. Step 2: Convert to fraction form
    996,820/2,124,127 = 2,124,127/x
  3. Step 3: Cross multiply
    996,820x = 2,124,127 × 2,124,127
  4. Step 4: Simplify right side
    996,820x = 4,511,915,512,129
  5. Step 5: Solve for x
    x = 4,511,915,512,129/996,820
  6. Step 6: Final answer
    x = 4,526,309.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.