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Finding the Third Proportional to 869,378,220 and 1,300,620,614

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Solution

The third proportional to 869,378,220 and 1,300,620,614 is: 1,945,774,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,378,220 : 1,300,620,614 = 1,300,620,614 : x
  2. Step 2: Convert to fraction form
    869,378,220/1,300,620,614 = 1,300,620,614/x
  3. Step 3: Cross multiply
    869,378,220x = 1,300,620,614 × 1,300,620,614
  4. Step 4: Simplify right side
    869,378,220x = 1,691,613,981,561,736,960
  5. Step 5: Solve for x
    x = 1,691,613,981,561,736,960/869,378,220
  6. Step 6: Final answer
    x = 1,945,774,511.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.