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Finding the Third Proportional to 426,240 and 932,751

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Solution

The third proportional to 426,240 and 932,751 is: 2,041,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,240 : 932,751 = 932,751 : x
  2. Step 2: Convert to fraction form
    426,240/932,751 = 932,751/x
  3. Step 3: Cross multiply
    426,240x = 932,751 × 932,751
  4. Step 4: Simplify right side
    426,240x = 870,024,428,001
  5. Step 5: Solve for x
    x = 870,024,428,001/426,240
  6. Step 6: Final answer
    x = 2,041,160.91

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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.