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Finding the Third Proportional to 606,502,560 and 1,309,843,536

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Solution

The third proportional to 606,502,560 and 1,309,843,536 is: 2,828,825,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,502,560 : 1,309,843,536 = 1,309,843,536 : x
  2. Step 2: Convert to fraction form
    606,502,560/1,309,843,536 = 1,309,843,536/x
  3. Step 3: Cross multiply
    606,502,560x = 1,309,843,536 × 1,309,843,536
  4. Step 4: Simplify right side
    606,502,560x = 1,715,690,088,800,983,296
  5. Step 5: Solve for x
    x = 1,715,690,088,800,983,296/606,502,560
  6. Step 6: Final answer
    x = 2,828,825,798.86

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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.