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Finding the Third Proportional to 426,323 and 932,881

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Solution

The third proportional to 426,323 and 932,881 is: 2,041,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,323 : 932,881 = 932,881 : x
  2. Step 2: Convert to fraction form
    426,323/932,881 = 932,881/x
  3. Step 3: Cross multiply
    426,323x = 932,881 × 932,881
  4. Step 4: Simplify right side
    426,323x = 870,266,960,161
  5. Step 5: Solve for x
    x = 870,266,960,161/426,323
  6. Step 6: Final answer
    x = 2,041,332.42

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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.