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Finding the Third Proportional to 656,380 and 1,434,248

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Solution

The third proportional to 656,380 and 1,434,248 is: 3,133,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,380 : 1,434,248 = 1,434,248 : x
  2. Step 2: Convert to fraction form
    656,380/1,434,248 = 1,434,248/x
  3. Step 3: Cross multiply
    656,380x = 1,434,248 × 1,434,248
  4. Step 4: Simplify right side
    656,380x = 2,057,067,325,504
  5. Step 5: Solve for x
    x = 2,057,067,325,504/656,380
  6. Step 6: Final answer
    x = 3,133,957.96

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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.