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Finding the Third Proportional to 495,904 and 1,017,944

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Solution

The third proportional to 495,904 and 1,017,944 is: 2,089,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,904 : 1,017,944 = 1,017,944 : x
  2. Step 2: Convert to fraction form
    495,904/1,017,944 = 1,017,944/x
  3. Step 3: Cross multiply
    495,904x = 1,017,944 × 1,017,944
  4. Step 4: Simplify right side
    495,904x = 1,036,209,987,136
  5. Step 5: Solve for x
    x = 1,036,209,987,136/495,904
  6. Step 6: Final answer
    x = 2,089,537.47

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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.