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Finding the Third Proportional to 2,070,408.38 and 3,161,664

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Solution

The third proportional to 2,070,408.38 and 3,161,664 is: 4,828,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,408.38 : 3,161,664 = 3,161,664 : x
  2. Step 2: Convert to fraction form
    2,070,408.38/3,161,664 = 3,161,664/x
  3. Step 3: Cross multiply
    2,070,408.38x = 3,161,664 × 3,161,664
  4. Step 4: Simplify right side
    2,070,408.38x = 9,996,119,248,896
  5. Step 5: Solve for x
    x = 9,996,119,248,896/2,070,408.38
  6. Step 6: Final answer
    x = 4,828,090.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.