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Finding the Third Proportional to 405,531,889 and 832,562,245

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Solution

The third proportional to 405,531,889 and 832,562,245 is: 1,709,261,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,531,889 : 832,562,245 = 832,562,245 : x
  2. Step 2: Convert to fraction form
    405,531,889/832,562,245 = 832,562,245/x
  3. Step 3: Cross multiply
    405,531,889x = 832,562,245 × 832,562,245
  4. Step 4: Simplify right side
    405,531,889x = 693,159,891,799,440,000
  5. Step 5: Solve for x
    x = 693,159,891,799,440,000/405,531,889
  6. Step 6: Final answer
    x = 1,709,261,122.49

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