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Finding the Third Proportional to 982,246 and 2,108,013

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Solution

The third proportional to 982,246 and 2,108,013 is: 4,524,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,246 : 2,108,013 = 2,108,013 : x
  2. Step 2: Convert to fraction form
    982,246/2,108,013 = 2,108,013/x
  3. Step 3: Cross multiply
    982,246x = 2,108,013 × 2,108,013
  4. Step 4: Simplify right side
    982,246x = 4,443,718,808,169
  5. Step 5: Solve for x
    x = 4,443,718,808,169/982,246
  6. Step 6: Final answer
    x = 4,524,038.59

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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.