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Finding the Third Proportional to 704,993.63 and 1,447,318.13

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Solution

The third proportional to 704,993.63 and 1,447,318.13 is: 2,971,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,993.63 : 1,447,318.13 = 1,447,318.13 : x
  2. Step 2: Convert to fraction form
    704,993.63/1,447,318.13 = 1,447,318.13/x
  3. Step 3: Cross multiply
    704,993.63x = 1,447,318.13 × 1,447,318.13
  4. Step 4: Simplify right side
    704,993.63x = 2,094,729,754,953.52
  5. Step 5: Solve for x
    x = 2,094,729,754,953.52/704,993.63
  6. Step 6: Final answer
    x = 2,971,274.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.