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Finding the Third Proportional to 466,970 and 1,021,244

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Solution

The third proportional to 466,970 and 1,021,244 is: 2,233,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,970 : 1,021,244 = 1,021,244 : x
  2. Step 2: Convert to fraction form
    466,970/1,021,244 = 1,021,244/x
  3. Step 3: Cross multiply
    466,970x = 1,021,244 × 1,021,244
  4. Step 4: Simplify right side
    466,970x = 1,042,939,307,536
  5. Step 5: Solve for x
    x = 1,042,939,307,536/466,970
  6. Step 6: Final answer
    x = 2,233,418.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.