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Finding the Third Proportional to 842,465.81 and 1,845,296.44

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Solution

The third proportional to 842,465.81 and 1,845,296.44 is: 4,041,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,465.81 : 1,845,296.44 = 1,845,296.44 : x
  2. Step 2: Convert to fraction form
    842,465.81/1,845,296.44 = 1,845,296.44/x
  3. Step 3: Cross multiply
    842,465.81x = 1,845,296.44 × 1,845,296.44
  4. Step 4: Simplify right side
    842,465.81x = 3,405,118,942,250.19
  5. Step 5: Solve for x
    x = 3,405,118,942,250.19/842,465.81
  6. Step 6: Final answer
    x = 4,041,848.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.