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Finding the Third Proportional to 789,266 and 1,704,658

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Solution

The third proportional to 789,266 and 1,704,658 is: 3,681,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,266 : 1,704,658 = 1,704,658 : x
  2. Step 2: Convert to fraction form
    789,266/1,704,658 = 1,704,658/x
  3. Step 3: Cross multiply
    789,266x = 1,704,658 × 1,704,658
  4. Step 4: Simplify right side
    789,266x = 2,905,858,896,964
  5. Step 5: Solve for x
    x = 2,905,858,896,964/789,266
  6. Step 6: Final answer
    x = 3,681,723.14

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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.