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Finding the Third Proportional to 871,817 and 1,877,224

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Solution

The third proportional to 871,817 and 1,877,224 is: 4,042,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,817 : 1,877,224 = 1,877,224 : x
  2. Step 2: Convert to fraction form
    871,817/1,877,224 = 1,877,224/x
  3. Step 3: Cross multiply
    871,817x = 1,877,224 × 1,877,224
  4. Step 4: Simplify right side
    871,817x = 3,523,969,946,176
  5. Step 5: Solve for x
    x = 3,523,969,946,176/871,817
  6. Step 6: Final answer
    x = 4,042,098.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.