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Finding the Third Proportional to 1,293,833 and 2,807,581

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Solution

The third proportional to 1,293,833 and 2,807,581 is: 6,092,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,833 : 2,807,581 = 2,807,581 : x
  2. Step 2: Convert to fraction form
    1,293,833/2,807,581 = 2,807,581/x
  3. Step 3: Cross multiply
    1,293,833x = 2,807,581 × 2,807,581
  4. Step 4: Simplify right side
    1,293,833x = 7,882,511,071,561
  5. Step 5: Solve for x
    x = 7,882,511,071,561/1,293,833
  6. Step 6: Final answer
    x = 6,092,371.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.