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Finding the Third Proportional to 654,669 and 1,010,605

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Solution

The third proportional to 654,669 and 1,010,605 is: 1,560,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,669 : 1,010,605 = 1,010,605 : x
  2. Step 2: Convert to fraction form
    654,669/1,010,605 = 1,010,605/x
  3. Step 3: Cross multiply
    654,669x = 1,010,605 × 1,010,605
  4. Step 4: Simplify right side
    654,669x = 1,021,322,466,025
  5. Step 5: Solve for x
    x = 1,021,322,466,025/654,669
  6. Step 6: Final answer
    x = 1,560,059.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.