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Finding the Third Proportional to 679,735.50 and 1,587,549.75

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Solution

The third proportional to 679,735.50 and 1,587,549.75 is: 3,707,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,735.50 : 1,587,549.75 = 1,587,549.75 : x
  2. Step 2: Convert to fraction form
    679,735.50/1,587,549.75 = 1,587,549.75/x
  3. Step 3: Cross multiply
    679,735.50x = 1,587,549.75 × 1,587,549.75
  4. Step 4: Simplify right side
    679,735.50x = 2,520,314,208,725.06
  5. Step 5: Solve for x
    x = 2,520,314,208,725.06/679,735.50
  6. Step 6: Final answer
    x = 3,707,786.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.