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Finding the Third Proportional to 1,109,743.03 and 1,664,613.28

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Solution

The third proportional to 1,109,743.03 and 1,664,613.28 is: 2,496,918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,743.03 : 1,664,613.28 = 1,664,613.28 : x
  2. Step 2: Convert to fraction form
    1,109,743.03/1,664,613.28 = 1,664,613.28/x
  3. Step 3: Cross multiply
    1,109,743.03x = 1,664,613.28 × 1,664,613.28
  4. Step 4: Simplify right side
    1,109,743.03x = 2,770,937,376,113.89
  5. Step 5: Solve for x
    x = 2,770,937,376,113.89/1,109,743.03
  6. Step 6: Final answer
    x = 2,496,918.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.