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Finding the Third Proportional to 964,117 and 1,840,754

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Solution

The third proportional to 964,117 and 1,840,754 is: 3,514,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,117 : 1,840,754 = 1,840,754 : x
  2. Step 2: Convert to fraction form
    964,117/1,840,754 = 1,840,754/x
  3. Step 3: Cross multiply
    964,117x = 1,840,754 × 1,840,754
  4. Step 4: Simplify right side
    964,117x = 3,388,375,288,516
  5. Step 5: Solve for x
    x = 3,388,375,288,516/964,117
  6. Step 6: Final answer
    x = 3,514,485.57

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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.