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Finding the Third Proportional to 424,140 and 922,913

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Solution

The third proportional to 424,140 and 922,913 is: 2,008,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,140 : 922,913 = 922,913 : x
  2. Step 2: Convert to fraction form
    424,140/922,913 = 922,913/x
  3. Step 3: Cross multiply
    424,140x = 922,913 × 922,913
  4. Step 4: Simplify right side
    424,140x = 851,768,405,569
  5. Step 5: Solve for x
    x = 851,768,405,569/424,140
  6. Step 6: Final answer
    x = 2,008,224.66

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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.