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Finding the Third Proportional to 467,638 and 1,008,246

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Solution

The third proportional to 467,638 and 1,008,246 is: 2,173,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,638 : 1,008,246 = 1,008,246 : x
  2. Step 2: Convert to fraction form
    467,638/1,008,246 = 1,008,246/x
  3. Step 3: Cross multiply
    467,638x = 1,008,246 × 1,008,246
  4. Step 4: Simplify right side
    467,638x = 1,016,559,996,516
  5. Step 5: Solve for x
    x = 1,016,559,996,516/467,638
  6. Step 6: Final answer
    x = 2,173,818.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.