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Finding the Third Proportional to 669,654 and 1,010,519

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Solution

The third proportional to 669,654 and 1,010,519 is: 1,524,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,654 : 1,010,519 = 1,010,519 : x
  2. Step 2: Convert to fraction form
    669,654/1,010,519 = 1,010,519/x
  3. Step 3: Cross multiply
    669,654x = 1,010,519 × 1,010,519
  4. Step 4: Simplify right side
    669,654x = 1,021,148,649,361
  5. Step 5: Solve for x
    x = 1,021,148,649,361/669,654
  6. Step 6: Final answer
    x = 1,524,889.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.