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Finding the Third Proportional to 746,587.13 and 1,141,636.78

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Solution

The third proportional to 746,587.13 and 1,141,636.78 is: 1,745,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,587.13 : 1,141,636.78 = 1,141,636.78 : x
  2. Step 2: Convert to fraction form
    746,587.13/1,141,636.78 = 1,141,636.78/x
  3. Step 3: Cross multiply
    746,587.13x = 1,141,636.78 × 1,141,636.78
  4. Step 4: Simplify right side
    746,587.13x = 1,303,334,540,302.86
  5. Step 5: Solve for x
    x = 1,303,334,540,302.86/746,587.13
  6. Step 6: Final answer
    x = 1,745,723.30

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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.