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Finding the Third Proportional to 432,937.41 and 928,923.19

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Solution

The third proportional to 432,937.41 and 928,923.19 is: 1,993,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,937.41 : 928,923.19 = 928,923.19 : x
  2. Step 2: Convert to fraction form
    432,937.41/928,923.19 = 928,923.19/x
  3. Step 3: Cross multiply
    432,937.41x = 928,923.19 × 928,923.19
  4. Step 4: Simplify right side
    432,937.41x = 862,898,288,275.16
  5. Step 5: Solve for x
    x = 862,898,288,275.16/432,937.41
  6. Step 6: Final answer
    x = 1,993,124.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.