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Finding the Third Proportional to 645,036 and 1,375,620

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Solution

The third proportional to 645,036 and 1,375,620 is: 2,933,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,036 : 1,375,620 = 1,375,620 : x
  2. Step 2: Convert to fraction form
    645,036/1,375,620 = 1,375,620/x
  3. Step 3: Cross multiply
    645,036x = 1,375,620 × 1,375,620
  4. Step 4: Simplify right side
    645,036x = 1,892,330,384,400
  5. Step 5: Solve for x
    x = 1,892,330,384,400/645,036
  6. Step 6: Final answer
    x = 2,933,681.82

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Why These Related Problems?

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