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Finding the Third Proportional to 1,598,357 and 3,423,433

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Solution

The third proportional to 1,598,357 and 3,423,433 is: 7,332,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,357 : 3,423,433 = 3,423,433 : x
  2. Step 2: Convert to fraction form
    1,598,357/3,423,433 = 3,423,433/x
  3. Step 3: Cross multiply
    1,598,357x = 3,423,433 × 3,423,433
  4. Step 4: Simplify right side
    1,598,357x = 11,719,893,505,489
  5. Step 5: Solve for x
    x = 11,719,893,505,489/1,598,357
  6. Step 6: Final answer
    x = 7,332,462.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.