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Finding the Third Proportional to 640,368 and 1,380,048

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Solution

The third proportional to 640,368 and 1,380,048 is: 2,974,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,368 : 1,380,048 = 1,380,048 : x
  2. Step 2: Convert to fraction form
    640,368/1,380,048 = 1,380,048/x
  3. Step 3: Cross multiply
    640,368x = 1,380,048 × 1,380,048
  4. Step 4: Simplify right side
    640,368x = 1,904,532,482,304
  5. Step 5: Solve for x
    x = 1,904,532,482,304/640,368
  6. Step 6: Final answer
    x = 2,974,121.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.