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Finding the Third Proportional to 492,878 and 1,059,364

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Solution

The third proportional to 492,878 and 1,059,364 is: 2,276,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,878 : 1,059,364 = 1,059,364 : x
  2. Step 2: Convert to fraction form
    492,878/1,059,364 = 1,059,364/x
  3. Step 3: Cross multiply
    492,878x = 1,059,364 × 1,059,364
  4. Step 4: Simplify right side
    492,878x = 1,122,252,084,496
  5. Step 5: Solve for x
    x = 1,122,252,084,496/492,878
  6. Step 6: Final answer
    x = 2,276,936.86

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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.