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Finding the Third Proportional to 604,932 and 893,598

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Solution

The third proportional to 604,932 and 893,598 is: 1,320,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,932 : 893,598 = 893,598 : x
  2. Step 2: Convert to fraction form
    604,932/893,598 = 893,598/x
  3. Step 3: Cross multiply
    604,932x = 893,598 × 893,598
  4. Step 4: Simplify right side
    604,932x = 798,517,385,604
  5. Step 5: Solve for x
    x = 798,517,385,604/604,932
  6. Step 6: Final answer
    x = 1,320,011.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.