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Finding the Third Proportional to 426,399 and 932,915

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Solution

The third proportional to 426,399 and 932,915 is: 2,041,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,399 : 932,915 = 932,915 : x
  2. Step 2: Convert to fraction form
    426,399/932,915 = 932,915/x
  3. Step 3: Cross multiply
    426,399x = 932,915 × 932,915
  4. Step 4: Simplify right side
    426,399x = 870,330,397,225
  5. Step 5: Solve for x
    x = 870,330,397,225/426,399
  6. Step 6: Final answer
    x = 2,041,117.35

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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.