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Finding the Third Proportional to 853,136 and 1,285,111

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Solution

The third proportional to 853,136 and 1,285,111 is: 1,935,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,136 : 1,285,111 = 1,285,111 : x
  2. Step 2: Convert to fraction form
    853,136/1,285,111 = 1,285,111/x
  3. Step 3: Cross multiply
    853,136x = 1,285,111 × 1,285,111
  4. Step 4: Simplify right side
    853,136x = 1,651,510,282,321
  5. Step 5: Solve for x
    x = 1,651,510,282,321/853,136
  6. Step 6: Final answer
    x = 1,935,811.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.