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Finding the Third Proportional to 833,356 and 1,179,964

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Solution

The third proportional to 833,356 and 1,179,964 is: 1,670,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,356 : 1,179,964 = 1,179,964 : x
  2. Step 2: Convert to fraction form
    833,356/1,179,964 = 1,179,964/x
  3. Step 3: Cross multiply
    833,356x = 1,179,964 × 1,179,964
  4. Step 4: Simplify right side
    833,356x = 1,392,315,041,296
  5. Step 5: Solve for x
    x = 1,392,315,041,296/833,356
  6. Step 6: Final answer
    x = 1,670,732.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.