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Finding the Third Proportional to 426,042 and 926,817.75

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Solution

The third proportional to 426,042 and 926,817.75 is: 2,016,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,042 : 926,817.75 = 926,817.75 : x
  2. Step 2: Convert to fraction form
    426,042/926,817.75 = 926,817.75/x
  3. Step 3: Cross multiply
    426,042x = 926,817.75 × 926,817.75
  4. Step 4: Simplify right side
    426,042x = 858,991,141,715.06
  5. Step 5: Solve for x
    x = 858,991,141,715.06/426,042
  6. Step 6: Final answer
    x = 2,016,212.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.