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Finding the Third Proportional to 493,510 and 1,071,583

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Solution

The third proportional to 493,510 and 1,071,583 is: 2,326,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,510 : 1,071,583 = 1,071,583 : x
  2. Step 2: Convert to fraction form
    493,510/1,071,583 = 1,071,583/x
  3. Step 3: Cross multiply
    493,510x = 1,071,583 × 1,071,583
  4. Step 4: Simplify right side
    493,510x = 1,148,290,125,889
  5. Step 5: Solve for x
    x = 1,148,290,125,889/493,510
  6. Step 6: Final answer
    x = 2,326,781.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.