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Finding the Third Proportional to 847,584 and 1,764,864

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Solution

The third proportional to 847,584 and 1,764,864 is: 3,674,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,584 : 1,764,864 = 1,764,864 : x
  2. Step 2: Convert to fraction form
    847,584/1,764,864 = 1,764,864/x
  3. Step 3: Cross multiply
    847,584x = 1,764,864 × 1,764,864
  4. Step 4: Simplify right side
    847,584x = 3,114,744,938,496
  5. Step 5: Solve for x
    x = 3,114,744,938,496/847,584
  6. Step 6: Final answer
    x = 3,674,851.03

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.