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Finding the Third Proportional to 811,476 and 1,735,524

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Solution

The third proportional to 811,476 and 1,735,524 is: 3,711,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,476 : 1,735,524 = 1,735,524 : x
  2. Step 2: Convert to fraction form
    811,476/1,735,524 = 1,735,524/x
  3. Step 3: Cross multiply
    811,476x = 1,735,524 × 1,735,524
  4. Step 4: Simplify right side
    811,476x = 3,012,043,554,576
  5. Step 5: Solve for x
    x = 3,012,043,554,576/811,476
  6. Step 6: Final answer
    x = 3,711,808.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.