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Finding the Third Proportional to 871,029 and 1,879,825

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Solution

The third proportional to 871,029 and 1,879,825 is: 4,056,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,029 : 1,879,825 = 1,879,825 : x
  2. Step 2: Convert to fraction form
    871,029/1,879,825 = 1,879,825/x
  3. Step 3: Cross multiply
    871,029x = 1,879,825 × 1,879,825
  4. Step 4: Simplify right side
    871,029x = 3,533,742,030,625
  5. Step 5: Solve for x
    x = 3,533,742,030,625/871,029
  6. Step 6: Final answer
    x = 4,056,974.03

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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.