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Finding the Third Proportional to 496,476 and 1,071,672

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Solution

The third proportional to 496,476 and 1,071,672 is: 2,313,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,476 : 1,071,672 = 1,071,672 : x
  2. Step 2: Convert to fraction form
    496,476/1,071,672 = 1,071,672/x
  3. Step 3: Cross multiply
    496,476x = 1,071,672 × 1,071,672
  4. Step 4: Simplify right side
    496,476x = 1,148,480,875,584
  5. Step 5: Solve for x
    x = 1,148,480,875,584/496,476
  6. Step 6: Final answer
    x = 2,313,265.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.