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Finding the Third Proportional to 1,920,042 and 4,201,668

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Solution

The third proportional to 1,920,042 and 4,201,668 is: 9,194,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,042 : 4,201,668 = 4,201,668 : x
  2. Step 2: Convert to fraction form
    1,920,042/4,201,668 = 4,201,668/x
  3. Step 3: Cross multiply
    1,920,042x = 4,201,668 × 4,201,668
  4. Step 4: Simplify right side
    1,920,042x = 17,654,013,982,224
  5. Step 5: Solve for x
    x = 17,654,013,982,224/1,920,042
  6. Step 6: Final answer
    x = 9,194,597.82

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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.