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Finding the Third Proportional to 640,772 and 1,364,368

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Solution

The third proportional to 640,772 and 1,364,368 is: 2,905,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,772 : 1,364,368 = 1,364,368 : x
  2. Step 2: Convert to fraction form
    640,772/1,364,368 = 1,364,368/x
  3. Step 3: Cross multiply
    640,772x = 1,364,368 × 1,364,368
  4. Step 4: Simplify right side
    640,772x = 1,861,500,039,424
  5. Step 5: Solve for x
    x = 1,861,500,039,424/640,772
  6. Step 6: Final answer
    x = 2,905,089.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.