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Finding the Third Proportional to 789,829 and 1,705,513

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Solution

The third proportional to 789,829 and 1,705,513 is: 3,682,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,829 : 1,705,513 = 1,705,513 : x
  2. Step 2: Convert to fraction form
    789,829/1,705,513 = 1,705,513/x
  3. Step 3: Cross multiply
    789,829x = 1,705,513 × 1,705,513
  4. Step 4: Simplify right side
    789,829x = 2,908,774,593,169
  5. Step 5: Solve for x
    x = 2,908,774,593,169/789,829
  6. Step 6: Final answer
    x = 3,682,790.32

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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.