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Finding the Third Proportional to 645,042 and 1,375,631

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Solution

The third proportional to 645,042 and 1,375,631 is: 2,933,701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,042 : 1,375,631 = 1,375,631 : x
  2. Step 2: Convert to fraction form
    645,042/1,375,631 = 1,375,631/x
  3. Step 3: Cross multiply
    645,042x = 1,375,631 × 1,375,631
  4. Step 4: Simplify right side
    645,042x = 1,892,360,648,161
  5. Step 5: Solve for x
    x = 1,892,360,648,161/645,042
  6. Step 6: Final answer
    x = 2,933,701.45

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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.