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Finding the Third Proportional to 426,238 and 932,746

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Solution

The third proportional to 426,238 and 932,746 is: 2,041,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,238 : 932,746 = 932,746 : x
  2. Step 2: Convert to fraction form
    426,238/932,746 = 932,746/x
  3. Step 3: Cross multiply
    426,238x = 932,746 × 932,746
  4. Step 4: Simplify right side
    426,238x = 870,015,100,516
  5. Step 5: Solve for x
    x = 870,015,100,516/426,238
  6. Step 6: Final answer
    x = 2,041,148.61

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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.