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Finding the Third Proportional to 1,009,829.50 and 2,180,161

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Solution

The third proportional to 1,009,829.50 and 2,180,161 is: 4,706,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,829.50 : 2,180,161 = 2,180,161 : x
  2. Step 2: Convert to fraction form
    1,009,829.50/2,180,161 = 2,180,161/x
  3. Step 3: Cross multiply
    1,009,829.50x = 2,180,161 × 2,180,161
  4. Step 4: Simplify right side
    1,009,829.50x = 4,753,101,985,921
  5. Step 5: Solve for x
    x = 4,753,101,985,921/1,009,829.50
  6. Step 6: Final answer
    x = 4,706,836.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.