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Finding the Third Proportional to 426,117 and 932,418

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Solution

The third proportional to 426,117 and 932,418 is: 2,040,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,117 : 932,418 = 932,418 : x
  2. Step 2: Convert to fraction form
    426,117/932,418 = 932,418/x
  3. Step 3: Cross multiply
    426,117x = 932,418 × 932,418
  4. Step 4: Simplify right side
    426,117x = 869,403,326,724
  5. Step 5: Solve for x
    x = 869,403,326,724/426,117
  6. Step 6: Final answer
    x = 2,040,292.52

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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.