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Finding the Third Proportional to 1,117,582.03 and 2,413,809.56

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Solution

The third proportional to 1,117,582.03 and 2,413,809.56 is: 5,213,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,582.03 : 2,413,809.56 = 2,413,809.56 : x
  2. Step 2: Convert to fraction form
    1,117,582.03/2,413,809.56 = 2,413,809.56/x
  3. Step 3: Cross multiply
    1,117,582.03x = 2,413,809.56 × 2,413,809.56
  4. Step 4: Simplify right side
    1,117,582.03x = 5,826,476,604,016.44
  5. Step 5: Solve for x
    x = 5,826,476,604,016.44/1,117,582.03
  6. Step 6: Final answer
    x = 5,213,466.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.