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Finding the Third Proportional to 1,036,769 and 2,272,827

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Solution

The third proportional to 1,036,769 and 2,272,827 is: 4,982,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,769 : 2,272,827 = 2,272,827 : x
  2. Step 2: Convert to fraction form
    1,036,769/2,272,827 = 2,272,827/x
  3. Step 3: Cross multiply
    1,036,769x = 2,272,827 × 2,272,827
  4. Step 4: Simplify right side
    1,036,769x = 5,165,742,571,929
  5. Step 5: Solve for x
    x = 5,165,742,571,929/1,036,769
  6. Step 6: Final answer
    x = 4,982,539.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.