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Finding the Third Proportional to 436,932 and 937,854

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Solution

The third proportional to 436,932 and 937,854 is: 2,013,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,932 : 937,854 = 937,854 : x
  2. Step 2: Convert to fraction form
    436,932/937,854 = 937,854/x
  3. Step 3: Cross multiply
    436,932x = 937,854 × 937,854
  4. Step 4: Simplify right side
    436,932x = 879,570,125,316
  5. Step 5: Solve for x
    x = 879,570,125,316/436,932
  6. Step 6: Final answer
    x = 2,013,059.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.