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Finding the Third Proportional to 964,122 and 1,840,764

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Solution

The third proportional to 964,122 and 1,840,764 is: 3,514,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,122 : 1,840,764 = 1,840,764 : x
  2. Step 2: Convert to fraction form
    964,122/1,840,764 = 1,840,764/x
  3. Step 3: Cross multiply
    964,122x = 1,840,764 × 1,840,764
  4. Step 4: Simplify right side
    964,122x = 3,388,412,103,696
  5. Step 5: Solve for x
    x = 3,388,412,103,696/964,122
  6. Step 6: Final answer
    x = 3,514,505.53

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.