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Finding the Third Proportional to 686,982.83 and 1,465,264.37

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Solution

The third proportional to 686,982.83 and 1,465,264.37 is: 3,125,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,982.83 : 1,465,264.37 = 1,465,264.37 : x
  2. Step 2: Convert to fraction form
    686,982.83/1,465,264.37 = 1,465,264.37/x
  3. Step 3: Cross multiply
    686,982.83x = 1,465,264.37 × 1,465,264.37
  4. Step 4: Simplify right side
    686,982.83x = 2,146,999,677,196.91
  5. Step 5: Solve for x
    x = 2,146,999,677,196.91/686,982.83
  6. Step 6: Final answer
    x = 3,125,259.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.