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Finding the Third Proportional to 782,532 and 1,649,111

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Solution

The third proportional to 782,532 and 1,649,111 is: 3,475,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,532 : 1,649,111 = 1,649,111 : x
  2. Step 2: Convert to fraction form
    782,532/1,649,111 = 1,649,111/x
  3. Step 3: Cross multiply
    782,532x = 1,649,111 × 1,649,111
  4. Step 4: Simplify right side
    782,532x = 2,719,567,090,321
  5. Step 5: Solve for x
    x = 2,719,567,090,321/782,532
  6. Step 6: Final answer
    x = 3,475,342.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.