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Finding the Third Proportional to 669,612 and 1,010,455

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Solution

The third proportional to 669,612 and 1,010,455 is: 1,524,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,612 : 1,010,455 = 1,010,455 : x
  2. Step 2: Convert to fraction form
    669,612/1,010,455 = 1,010,455/x
  3. Step 3: Cross multiply
    669,612x = 1,010,455 × 1,010,455
  4. Step 4: Simplify right side
    669,612x = 1,021,019,307,025
  5. Step 5: Solve for x
    x = 1,021,019,307,025/669,612
  6. Step 6: Final answer
    x = 1,524,792.43

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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.