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Finding the Third Proportional to 426,930.75 and 917,176.38

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Solution

The third proportional to 426,930.75 and 917,176.38 is: 1,970,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,930.75 : 917,176.38 = 917,176.38 : x
  2. Step 2: Convert to fraction form
    426,930.75/917,176.38 = 917,176.38/x
  3. Step 3: Cross multiply
    426,930.75x = 917,176.38 × 917,176.38
  4. Step 4: Simplify right side
    426,930.75x = 841,212,502,858.14
  5. Step 5: Solve for x
    x = 841,212,502,858.14/426,930.75
  6. Step 6: Final answer
    x = 1,970,372.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.