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Finding the Third Proportional to 405,531,907 and 832,562,280

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Solution

The third proportional to 405,531,907 and 832,562,280 is: 1,709,261,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,531,907 : 832,562,280 = 832,562,280 : x
  2. Step 2: Convert to fraction form
    405,531,907/832,562,280 = 832,562,280/x
  3. Step 3: Cross multiply
    405,531,907x = 832,562,280 × 832,562,280
  4. Step 4: Simplify right side
    405,531,907x = 693,159,950,078,798,336
  5. Step 5: Solve for x
    x = 693,159,950,078,798,336/405,531,907
  6. Step 6: Final answer
    x = 1,709,261,190.34

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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.