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Finding the Third Proportional to 606,816 and 951,792

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Solution

The third proportional to 606,816 and 951,792 is: 1,492,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,816 : 951,792 = 951,792 : x
  2. Step 2: Convert to fraction form
    606,816/951,792 = 951,792/x
  3. Step 3: Cross multiply
    606,816x = 951,792 × 951,792
  4. Step 4: Simplify right side
    606,816x = 905,908,011,264
  5. Step 5: Solve for x
    x = 905,908,011,264/606,816
  6. Step 6: Final answer
    x = 1,492,887.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.