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Finding the Third Proportional to 668,465.10 and 1,459,424.99

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Solution

The third proportional to 668,465.10 and 1,459,424.99 is: 3,186,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,465.10 : 1,459,424.99 = 1,459,424.99 : x
  2. Step 2: Convert to fraction form
    668,465.10/1,459,424.99 = 1,459,424.99/x
  3. Step 3: Cross multiply
    668,465.10x = 1,459,424.99 × 1,459,424.99
  4. Step 4: Simplify right side
    668,465.10x = 2,129,921,296,419.58
  5. Step 5: Solve for x
    x = 2,129,921,296,419.58/668,465.10
  6. Step 6: Final answer
    x = 3,186,286.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.