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Finding the Third Proportional to 593,387 and 943,419

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Solution

The third proportional to 593,387 and 943,419 is: 1,499,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,387 : 943,419 = 943,419 : x
  2. Step 2: Convert to fraction form
    593,387/943,419 = 943,419/x
  3. Step 3: Cross multiply
    593,387x = 943,419 × 943,419
  4. Step 4: Simplify right side
    593,387x = 890,039,409,561
  5. Step 5: Solve for x
    x = 890,039,409,561/593,387
  6. Step 6: Final answer
    x = 1,499,930.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.