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Finding the Third Proportional to 692,299.41 and 1,047,686.91

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Solution

The third proportional to 692,299.41 and 1,047,686.91 is: 1,585,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,299.41 : 1,047,686.91 = 1,047,686.91 : x
  2. Step 2: Convert to fraction form
    692,299.41/1,047,686.91 = 1,047,686.91/x
  3. Step 3: Cross multiply
    692,299.41x = 1,047,686.91 × 1,047,686.91
  4. Step 4: Simplify right side
    692,299.41x = 1,097,647,853,527.70
  5. Step 5: Solve for x
    x = 1,097,647,853,527.70/692,299.41
  6. Step 6: Final answer
    x = 1,585,510.32

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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.