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Finding the Third Proportional to 811,476 and 1,762,920

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Solution

The third proportional to 811,476 and 1,762,920 is: 3,829,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,476 : 1,762,920 = 1,762,920 : x
  2. Step 2: Convert to fraction form
    811,476/1,762,920 = 1,762,920/x
  3. Step 3: Cross multiply
    811,476x = 1,762,920 × 1,762,920
  4. Step 4: Simplify right side
    811,476x = 3,107,886,926,400
  5. Step 5: Solve for x
    x = 3,107,886,926,400/811,476
  6. Step 6: Final answer
    x = 3,829,918.48

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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.