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Finding the Third Proportional to 507,854 and 1,092,172

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Solution

The third proportional to 507,854 and 1,092,172 is: 2,348,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,854 : 1,092,172 = 1,092,172 : x
  2. Step 2: Convert to fraction form
    507,854/1,092,172 = 1,092,172/x
  3. Step 3: Cross multiply
    507,854x = 1,092,172 × 1,092,172
  4. Step 4: Simplify right side
    507,854x = 1,192,839,677,584
  5. Step 5: Solve for x
    x = 1,192,839,677,584/507,854
  6. Step 6: Final answer
    x = 2,348,784.65

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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.