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Finding the Third Proportional to 426,396.94 and 932,910.19

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Solution

The third proportional to 426,396.94 and 932,910.19 is: 2,041,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,396.94 : 932,910.19 = 932,910.19 : x
  2. Step 2: Convert to fraction form
    426,396.94/932,910.19 = 932,910.19/x
  3. Step 3: Cross multiply
    426,396.94x = 932,910.19 × 932,910.19
  4. Step 4: Simplify right side
    426,396.94x = 870,321,417,941.29
  5. Step 5: Solve for x
    x = 870,321,417,941.29/426,396.94
  6. Step 6: Final answer
    x = 2,041,106.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.