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Finding the Third Proportional to 914,136 and 1,985,520

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Solution

The third proportional to 914,136 and 1,985,520 is: 4,312,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,136 : 1,985,520 = 1,985,520 : x
  2. Step 2: Convert to fraction form
    914,136/1,985,520 = 1,985,520/x
  3. Step 3: Cross multiply
    914,136x = 1,985,520 × 1,985,520
  4. Step 4: Simplify right side
    914,136x = 3,942,289,670,400
  5. Step 5: Solve for x
    x = 3,942,289,670,400/914,136
  6. Step 6: Final answer
    x = 4,312,585.51

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Why These Related Problems?

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