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Finding the Third Proportional to 1,609,040.25 and 2,385,714.38

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Solution

The third proportional to 1,609,040.25 and 2,385,714.38 is: 3,537,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,040.25 : 2,385,714.38 = 2,385,714.38 : x
  2. Step 2: Convert to fraction form
    1,609,040.25/2,385,714.38 = 2,385,714.38/x
  3. Step 3: Cross multiply
    1,609,040.25x = 2,385,714.38 × 2,385,714.38
  4. Step 4: Simplify right side
    1,609,040.25x = 5,691,633,079,081.64
  5. Step 5: Solve for x
    x = 5,691,633,079,081.64/1,609,040.25
  6. Step 6: Final answer
    x = 3,537,284.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.