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Finding the Third Proportional to 469,092 and 914,854

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Solution

The third proportional to 469,092 and 914,854 is: 1,784,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,092 : 914,854 = 914,854 : x
  2. Step 2: Convert to fraction form
    469,092/914,854 = 914,854/x
  3. Step 3: Cross multiply
    469,092x = 914,854 × 914,854
  4. Step 4: Simplify right side
    469,092x = 836,957,841,316
  5. Step 5: Solve for x
    x = 836,957,841,316/469,092
  6. Step 6: Final answer
    x = 1,784,208.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.