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Finding the Third Proportional to 405,531,814 and 832,562,073

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Solution

The third proportional to 405,531,814 and 832,562,073 is: 1,709,260,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,531,814 : 832,562,073 = 832,562,073 : x
  2. Step 2: Convert to fraction form
    405,531,814/832,562,073 = 832,562,073/x
  3. Step 3: Cross multiply
    405,531,814x = 832,562,073 × 832,562,073
  4. Step 4: Simplify right side
    405,531,814x = 693,159,605,398,057,344
  5. Step 5: Solve for x
    x = 693,159,605,398,057,344/405,531,814
  6. Step 6: Final answer
    x = 1,709,260,732.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.