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Finding the Third Proportional to 606,159,144 and 1,309,316,112

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Solution

The third proportional to 606,159,144 and 1,309,316,112 is: 2,828,149,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,159,144 : 1,309,316,112 = 1,309,316,112 : x
  2. Step 2: Convert to fraction form
    606,159,144/1,309,316,112 = 1,309,316,112/x
  3. Step 3: Cross multiply
    606,159,144x = 1,309,316,112 × 1,309,316,112
  4. Step 4: Simplify right side
    606,159,144x = 1,714,308,681,142,796,544
  5. Step 5: Solve for x
    x = 1,714,308,681,142,796,544/606,159,144
  6. Step 6: Final answer
    x = 2,828,149,501.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.