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Finding the Third Proportional to 467,946 and 1,006,821

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Solution

The third proportional to 467,946 and 1,006,821 is: 2,166,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,946 : 1,006,821 = 1,006,821 : x
  2. Step 2: Convert to fraction form
    467,946/1,006,821 = 1,006,821/x
  3. Step 3: Cross multiply
    467,946x = 1,006,821 × 1,006,821
  4. Step 4: Simplify right side
    467,946x = 1,013,688,526,041
  5. Step 5: Solve for x
    x = 1,013,688,526,041/467,946
  6. Step 6: Final answer
    x = 2,166,251.08

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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.