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Finding the Third Proportional to 492,796 and 1,059,209

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Solution

The third proportional to 492,796 and 1,059,209 is: 2,276,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,796 : 1,059,209 = 1,059,209 : x
  2. Step 2: Convert to fraction form
    492,796/1,059,209 = 1,059,209/x
  3. Step 3: Cross multiply
    492,796x = 1,059,209 × 1,059,209
  4. Step 4: Simplify right side
    492,796x = 1,121,923,705,681
  5. Step 5: Solve for x
    x = 1,121,923,705,681/492,796
  6. Step 6: Final answer
    x = 2,276,649.38

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