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Finding the Third Proportional to 606,159,209 and 1,309,316,215

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Solution

The third proportional to 606,159,209 and 1,309,316,215 is: 2,828,149,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,159,209 : 1,309,316,215 = 1,309,316,215 : x
  2. Step 2: Convert to fraction form
    606,159,209/1,309,316,215 = 1,309,316,215/x
  3. Step 3: Cross multiply
    606,159,209x = 1,309,316,215 × 1,309,316,215
  4. Step 4: Simplify right side
    606,159,209x = 1,714,308,950,861,926,144
  5. Step 5: Solve for x
    x = 1,714,308,950,861,926,144/606,159,209
  6. Step 6: Final answer
    x = 2,828,149,643.54

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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.