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Finding the Third Proportional to 593,385 and 943,416

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Solution

The third proportional to 593,385 and 943,416 is: 1,499,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,385 : 943,416 = 943,416 : x
  2. Step 2: Convert to fraction form
    593,385/943,416 = 943,416/x
  3. Step 3: Cross multiply
    593,385x = 943,416 × 943,416
  4. Step 4: Simplify right side
    593,385x = 890,033,749,056
  5. Step 5: Solve for x
    x = 890,033,749,056/593,385
  6. Step 6: Final answer
    x = 1,499,926.27

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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.