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Finding the Third Proportional to 789,719 and 1,705,529

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Solution

The third proportional to 789,719 and 1,705,529 is: 3,683,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,719 : 1,705,529 = 1,705,529 : x
  2. Step 2: Convert to fraction form
    789,719/1,705,529 = 1,705,529/x
  3. Step 3: Cross multiply
    789,719x = 1,705,529 × 1,705,529
  4. Step 4: Simplify right side
    789,719x = 2,908,829,169,841
  5. Step 5: Solve for x
    x = 2,908,829,169,841/789,719
  6. Step 6: Final answer
    x = 3,683,372.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.