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Finding the Third Proportional to 420,120 and 921,874.50

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Solution

The third proportional to 420,120 and 921,874.50 is: 2,022,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,120 : 921,874.50 = 921,874.50 : x
  2. Step 2: Convert to fraction form
    420,120/921,874.50 = 921,874.50/x
  3. Step 3: Cross multiply
    420,120x = 921,874.50 × 921,874.50
  4. Step 4: Simplify right side
    420,120x = 849,852,593,750.25
  5. Step 5: Solve for x
    x = 849,852,593,750.25/420,120
  6. Step 6: Final answer
    x = 2,022,880.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.