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Finding the Third Proportional to 495,864 and 1,017,864

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Solution

The third proportional to 495,864 and 1,017,864 is: 2,089,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,864 : 1,017,864 = 1,017,864 : x
  2. Step 2: Convert to fraction form
    495,864/1,017,864 = 1,017,864/x
  3. Step 3: Cross multiply
    495,864x = 1,017,864 × 1,017,864
  4. Step 4: Simplify right side
    495,864x = 1,036,047,122,496
  5. Step 5: Solve for x
    x = 1,036,047,122,496/495,864
  6. Step 6: Final answer
    x = 2,089,377.58

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.