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Finding the Third Proportional to 829,247.63 and 1,249,716.09

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Solution

The third proportional to 829,247.63 and 1,249,716.09 is: 1,883,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,247.63 : 1,249,716.09 = 1,249,716.09 : x
  2. Step 2: Convert to fraction form
    829,247.63/1,249,716.09 = 1,249,716.09/x
  3. Step 3: Cross multiply
    829,247.63x = 1,249,716.09 × 1,249,716.09
  4. Step 4: Simplify right side
    829,247.63x = 1,561,790,314,977.76
  5. Step 5: Solve for x
    x = 1,561,790,314,977.76/829,247.63
  6. Step 6: Final answer
    x = 1,883,382.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.