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Finding the Third Proportional to 2,078,020 and 3,108,669

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Solution

The third proportional to 2,078,020 and 3,108,669 is: 4,650,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,020 : 3,108,669 = 3,108,669 : x
  2. Step 2: Convert to fraction form
    2,078,020/3,108,669 = 3,108,669/x
  3. Step 3: Cross multiply
    2,078,020x = 3,108,669 × 3,108,669
  4. Step 4: Simplify right side
    2,078,020x = 9,663,822,951,561
  5. Step 5: Solve for x
    x = 9,663,822,951,561/2,078,020
  6. Step 6: Final answer
    x = 4,650,495.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.