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Finding the Third Proportional to 791,914 and 1,075,911

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Solution

The third proportional to 791,914 and 1,075,911 is: 1,461,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,914 : 1,075,911 = 1,075,911 : x
  2. Step 2: Convert to fraction form
    791,914/1,075,911 = 1,075,911/x
  3. Step 3: Cross multiply
    791,914x = 1,075,911 × 1,075,911
  4. Step 4: Simplify right side
    791,914x = 1,157,584,479,921
  5. Step 5: Solve for x
    x = 1,157,584,479,921/791,914
  6. Step 6: Final answer
    x = 1,461,755.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.