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Finding the Third Proportional to 598,518 and 839,841

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Solution

The third proportional to 598,518 and 839,841 is: 1,178,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,518 : 839,841 = 839,841 : x
  2. Step 2: Convert to fraction form
    598,518/839,841 = 839,841/x
  3. Step 3: Cross multiply
    598,518x = 839,841 × 839,841
  4. Step 4: Simplify right side
    598,518x = 705,332,905,281
  5. Step 5: Solve for x
    x = 705,332,905,281/598,518
  6. Step 6: Final answer
    x = 1,178,465.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.