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Finding the Third Proportional to 789,726 and 1,705,542

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Solution

The third proportional to 789,726 and 1,705,542 is: 3,683,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,726 : 1,705,542 = 1,705,542 : x
  2. Step 2: Convert to fraction form
    789,726/1,705,542 = 1,705,542/x
  3. Step 3: Cross multiply
    789,726x = 1,705,542 × 1,705,542
  4. Step 4: Simplify right side
    789,726x = 2,908,873,513,764
  5. Step 5: Solve for x
    x = 2,908,873,513,764/789,726
  6. Step 6: Final answer
    x = 3,683,395.90

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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.