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Finding the Third Proportional to 606,502,290 and 1,309,843,012

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Solution

The third proportional to 606,502,290 and 1,309,843,012 is: 2,828,824,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,502,290 : 1,309,843,012 = 1,309,843,012 : x
  2. Step 2: Convert to fraction form
    606,502,290/1,309,843,012 = 1,309,843,012/x
  3. Step 3: Cross multiply
    606,502,290x = 1,309,843,012 × 1,309,843,012
  4. Step 4: Simplify right side
    606,502,290x = 1,715,688,716,085,232,128
  5. Step 5: Solve for x
    x = 1,715,688,716,085,232,128/606,502,290
  6. Step 6: Final answer
    x = 2,828,824,794.85

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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.