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Finding the Third Proportional to 758,176.13 and 1,649,204.63

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Solution

The third proportional to 758,176.13 and 1,649,204.63 is: 3,587,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,176.13 : 1,649,204.63 = 1,649,204.63 : x
  2. Step 2: Convert to fraction form
    758,176.13/1,649,204.63 = 1,649,204.63/x
  3. Step 3: Cross multiply
    758,176.13x = 1,649,204.63 × 1,649,204.63
  4. Step 4: Simplify right side
    758,176.13x = 2,719,875,895,121.39
  5. Step 5: Solve for x
    x = 2,719,875,895,121.39/758,176.13
  6. Step 6: Final answer
    x = 3,587,393.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.