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Finding the Third Proportional to 1,761,455.25 and 2,699,046

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Solution

The third proportional to 1,761,455.25 and 2,699,046 is: 4,135,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,455.25 : 2,699,046 = 2,699,046 : x
  2. Step 2: Convert to fraction form
    1,761,455.25/2,699,046 = 2,699,046/x
  3. Step 3: Cross multiply
    1,761,455.25x = 2,699,046 × 2,699,046
  4. Step 4: Simplify right side
    1,761,455.25x = 7,284,849,310,116
  5. Step 5: Solve for x
    x = 7,284,849,310,116/1,761,455.25
  6. Step 6: Final answer
    x = 4,135,699.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.