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Finding the Third Proportional to 820,323 and 1,283,914

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Solution

The third proportional to 820,323 and 1,283,914 is: 2,009,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,323 : 1,283,914 = 1,283,914 : x
  2. Step 2: Convert to fraction form
    820,323/1,283,914 = 1,283,914/x
  3. Step 3: Cross multiply
    820,323x = 1,283,914 × 1,283,914
  4. Step 4: Simplify right side
    820,323x = 1,648,435,159,396
  5. Step 5: Solve for x
    x = 1,648,435,159,396/820,323
  6. Step 6: Final answer
    x = 2,009,495.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.