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Finding the Third Proportional to 606,502,548 and 1,309,843,512

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Solution

The third proportional to 606,502,548 and 1,309,843,512 is: 2,828,825,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,502,548 : 1,309,843,512 = 1,309,843,512 : x
  2. Step 2: Convert to fraction form
    606,502,548/1,309,843,512 = 1,309,843,512/x
  3. Step 3: Cross multiply
    606,502,548x = 1,309,843,512 × 1,309,843,512
  4. Step 4: Simplify right side
    606,502,548x = 1,715,690,025,928,494,080
  5. Step 5: Solve for x
    x = 1,715,690,025,928,494,080/606,502,548
  6. Step 6: Final answer
    x = 2,828,825,751.16

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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.