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Finding the Third Proportional to 606,159,207 and 1,309,316,211

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Solution

The third proportional to 606,159,207 and 1,309,316,211 is: 2,828,149,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,159,207 : 1,309,316,211 = 1,309,316,211 : x
  2. Step 2: Convert to fraction form
    606,159,207/1,309,316,211 = 1,309,316,211/x
  3. Step 3: Cross multiply
    606,159,207x = 1,309,316,211 × 1,309,316,211
  4. Step 4: Simplify right side
    606,159,207x = 1,714,308,940,387,396,608
  5. Step 5: Solve for x
    x = 1,714,308,940,387,396,608/606,159,207
  6. Step 6: Final answer
    x = 2,828,149,635.59

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Why These Related Problems?

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