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Finding the Third Proportional to 757,984 and 1,642,111

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Solution

The third proportional to 757,984 and 1,642,111 is: 3,557,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,984 : 1,642,111 = 1,642,111 : x
  2. Step 2: Convert to fraction form
    757,984/1,642,111 = 1,642,111/x
  3. Step 3: Cross multiply
    757,984x = 1,642,111 × 1,642,111
  4. Step 4: Simplify right side
    757,984x = 2,696,528,536,321
  5. Step 5: Solve for x
    x = 2,696,528,536,321/757,984
  6. Step 6: Final answer
    x = 3,557,500.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.