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Finding the Third Proportional to 606,492,626 and 866,692,010

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Solution

The third proportional to 606,492,626 and 866,692,010 is: 1,238,522,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,492,626 : 866,692,010 = 866,692,010 : x
  2. Step 2: Convert to fraction form
    606,492,626/866,692,010 = 866,692,010/x
  3. Step 3: Cross multiply
    606,492,626x = 866,692,010 × 866,692,010
  4. Step 4: Simplify right side
    606,492,626x = 751,155,040,197,840,128
  5. Step 5: Solve for x
    x = 751,155,040,197,840,128/606,492,626
  6. Step 6: Final answer
    x = 1,238,522,956.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.