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Finding the Third Proportional to 647,200.13 and 1,003,035.66

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Solution

The third proportional to 647,200.13 and 1,003,035.66 is: 1,554,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,200.13 : 1,003,035.66 = 1,003,035.66 : x
  2. Step 2: Convert to fraction form
    647,200.13/1,003,035.66 = 1,003,035.66/x
  3. Step 3: Cross multiply
    647,200.13x = 1,003,035.66 × 1,003,035.66
  4. Step 4: Simplify right side
    647,200.13x = 1,006,080,527,708.87
  5. Step 5: Solve for x
    x = 1,006,080,527,708.87/647,200.13
  6. Step 6: Final answer
    x = 1,554,512.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.