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Finding the Third Proportional to 420,300 and 922,248

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Solution

The third proportional to 420,300 and 922,248 is: 2,023,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,300 : 922,248 = 922,248 : x
  2. Step 2: Convert to fraction form
    420,300/922,248 = 922,248/x
  3. Step 3: Cross multiply
    420,300x = 922,248 × 922,248
  4. Step 4: Simplify right side
    420,300x = 850,541,373,504
  5. Step 5: Solve for x
    x = 850,541,373,504/420,300
  6. Step 6: Final answer
    x = 2,023,653.04

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Why These Related Problems?

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