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Finding the Third Proportional to 425,546 and 922,010

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Solution

The third proportional to 425,546 and 922,010 is: 1,997,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,546 : 922,010 = 922,010 : x
  2. Step 2: Convert to fraction form
    425,546/922,010 = 922,010/x
  3. Step 3: Cross multiply
    425,546x = 922,010 × 922,010
  4. Step 4: Simplify right side
    425,546x = 850,102,440,100
  5. Step 5: Solve for x
    x = 850,102,440,100/425,546
  6. Step 6: Final answer
    x = 1,997,674.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.