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Finding the Third Proportional to 426,816 and 932,352

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Solution

The third proportional to 426,816 and 932,352 is: 2,036,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,816 : 932,352 = 932,352 : x
  2. Step 2: Convert to fraction form
    426,816/932,352 = 932,352/x
  3. Step 3: Cross multiply
    426,816x = 932,352 × 932,352
  4. Step 4: Simplify right side
    426,816x = 869,280,251,904
  5. Step 5: Solve for x
    x = 869,280,251,904/426,816
  6. Step 6: Final answer
    x = 2,036,662.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.