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Finding the Third Proportional to 871,818 and 1,877,223

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Solution

The third proportional to 871,818 and 1,877,223 is: 4,042,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,818 : 1,877,223 = 1,877,223 : x
  2. Step 2: Convert to fraction form
    871,818/1,877,223 = 1,877,223/x
  3. Step 3: Cross multiply
    871,818x = 1,877,223 × 1,877,223
  4. Step 4: Simplify right side
    871,818x = 3,523,966,191,729
  5. Step 5: Solve for x
    x = 3,523,966,191,729/871,818
  6. Step 6: Final answer
    x = 4,042,089.28

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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.