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Finding the Third Proportional to 714,451.50 and 1,541,078

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Solution

The third proportional to 714,451.50 and 1,541,078 is: 3,324,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,451.50 : 1,541,078 = 1,541,078 : x
  2. Step 2: Convert to fraction form
    714,451.50/1,541,078 = 1,541,078/x
  3. Step 3: Cross multiply
    714,451.50x = 1,541,078 × 1,541,078
  4. Step 4: Simplify right side
    714,451.50x = 2,374,921,402,084
  5. Step 5: Solve for x
    x = 2,374,921,402,084/714,451.50
  6. Step 6: Final answer
    x = 3,324,118.44

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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.