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Finding the Third Proportional to 402,254 and 884,860

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Solution

The third proportional to 402,254 and 884,860 is: 1,946,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,254 : 884,860 = 884,860 : x
  2. Step 2: Convert to fraction form
    402,254/884,860 = 884,860/x
  3. Step 3: Cross multiply
    402,254x = 884,860 × 884,860
  4. Step 4: Simplify right side
    402,254x = 782,977,219,600
  5. Step 5: Solve for x
    x = 782,977,219,600/402,254
  6. Step 6: Final answer
    x = 1,946,474.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.