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Finding the Third Proportional to 691,713.56 and 1,458,622.69

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Solution

The third proportional to 691,713.56 and 1,458,622.69 is: 3,075,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,713.56 : 1,458,622.69 = 1,458,622.69 : x
  2. Step 2: Convert to fraction form
    691,713.56/1,458,622.69 = 1,458,622.69/x
  3. Step 3: Cross multiply
    691,713.56x = 1,458,622.69 × 1,458,622.69
  4. Step 4: Simplify right side
    691,713.56x = 2,127,580,144,489.72
  5. Step 5: Solve for x
    x = 2,127,580,144,489.72/691,713.56
  6. Step 6: Final answer
    x = 3,075,810.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.