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Finding the Third Proportional to 301,551,879 and 656,501,060

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Solution

The third proportional to 301,551,879 and 656,501,060 is: 1,429,252,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,551,879 : 656,501,060 = 656,501,060 : x
  2. Step 2: Convert to fraction form
    301,551,879/656,501,060 = 656,501,060/x
  3. Step 3: Cross multiply
    301,551,879x = 656,501,060 × 656,501,060
  4. Step 4: Simplify right side
    301,551,879x = 430,993,641,781,123,584
  5. Step 5: Solve for x
    x = 430,993,641,781,123,584/301,551,879
  6. Step 6: Final answer
    x = 1,429,252,051.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.