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Finding the Third Proportional to 189,400,564 and 406,997,006

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Solution

The third proportional to 189,400,564 and 406,997,006 is: 874,583,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,400,564 : 406,997,006 = 406,997,006 : x
  2. Step 2: Convert to fraction form
    189,400,564/406,997,006 = 406,997,006/x
  3. Step 3: Cross multiply
    189,400,564x = 406,997,006 × 406,997,006
  4. Step 4: Simplify right side
    189,400,564x = 165,646,562,892,964,032
  5. Step 5: Solve for x
    x = 165,646,562,892,964,032/189,400,564
  6. Step 6: Final answer
    x = 874,583,260.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.