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Finding the Third Proportional to 443,672 and 975,832

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Solution

The third proportional to 443,672 and 975,832 is: 2,146,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,672 : 975,832 = 975,832 : x
  2. Step 2: Convert to fraction form
    443,672/975,832 = 975,832/x
  3. Step 3: Cross multiply
    443,672x = 975,832 × 975,832
  4. Step 4: Simplify right side
    443,672x = 952,248,092,224
  5. Step 5: Solve for x
    x = 952,248,092,224/443,672
  6. Step 6: Final answer
    x = 2,146,288.46

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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.