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Finding the Third Proportional to 435,794.16 and 941,612.90

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Solution

The third proportional to 435,794.16 and 941,612.90 is: 2,034,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,794.16 : 941,612.90 = 941,612.90 : x
  2. Step 2: Convert to fraction form
    435,794.16/941,612.90 = 941,612.90/x
  3. Step 3: Cross multiply
    435,794.16x = 941,612.90 × 941,612.90
  4. Step 4: Simplify right side
    435,794.16x = 886,634,848,664.71
  5. Step 5: Solve for x
    x = 886,634,848,664.71/435,794.16
  6. Step 6: Final answer
    x = 2,034,526.69

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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.