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Finding the Third Proportional to 437,851 and 943,246

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Solution

The third proportional to 437,851 and 943,246 is: 2,031,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,851 : 943,246 = 943,246 : x
  2. Step 2: Convert to fraction form
    437,851/943,246 = 943,246/x
  3. Step 3: Cross multiply
    437,851x = 943,246 × 943,246
  4. Step 4: Simplify right side
    437,851x = 889,713,016,516
  5. Step 5: Solve for x
    x = 889,713,016,516/437,851
  6. Step 6: Final answer
    x = 2,031,999.51

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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.