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Finding the Third Proportional to 1,357,443 and 2,680,623

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Solution

The third proportional to 1,357,443 and 2,680,623 is: 5,293,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,443 : 2,680,623 = 2,680,623 : x
  2. Step 2: Convert to fraction form
    1,357,443/2,680,623 = 2,680,623/x
  3. Step 3: Cross multiply
    1,357,443x = 2,680,623 × 2,680,623
  4. Step 4: Simplify right side
    1,357,443x = 7,185,739,668,129
  5. Step 5: Solve for x
    x = 7,185,739,668,129/1,357,443
  6. Step 6: Final answer
    x = 5,293,584.83

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.