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Finding the Third Proportional to 791,830.69 and 1,075,798.97

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Solution

The third proportional to 791,830.69 and 1,075,798.97 is: 1,461,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,830.69 : 1,075,798.97 = 1,075,798.97 : x
  2. Step 2: Convert to fraction form
    791,830.69/1,075,798.97 = 1,075,798.97/x
  3. Step 3: Cross multiply
    791,830.69x = 1,075,798.97 × 1,075,798.97
  4. Step 4: Simplify right side
    791,830.69x = 1,157,343,421,163.56
  5. Step 5: Solve for x
    x = 1,157,343,421,163.56/791,830.69
  6. Step 6: Final answer
    x = 1,461,604.66

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