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Finding the Third Proportional to 468,558,156 and 685,589,220

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Solution

The third proportional to 468,558,156 and 685,589,220 is: 1,003,146,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,558,156 : 685,589,220 = 685,589,220 : x
  2. Step 2: Convert to fraction form
    468,558,156/685,589,220 = 685,589,220/x
  3. Step 3: Cross multiply
    468,558,156x = 685,589,220 × 685,589,220
  4. Step 4: Simplify right side
    468,558,156x = 470,032,578,580,208,384
  5. Step 5: Solve for x
    x = 470,032,578,580,208,384/468,558,156
  6. Step 6: Final answer
    x = 1,003,146,722.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.