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Finding the Third Proportional to 712,514 and 1,136,163

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Solution

The third proportional to 712,514 and 1,136,163 is: 1,811,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,514 : 1,136,163 = 1,136,163 : x
  2. Step 2: Convert to fraction form
    712,514/1,136,163 = 1,136,163/x
  3. Step 3: Cross multiply
    712,514x = 1,136,163 × 1,136,163
  4. Step 4: Simplify right side
    712,514x = 1,290,866,362,569
  5. Step 5: Solve for x
    x = 1,290,866,362,569/712,514
  6. Step 6: Final answer
    x = 1,811,706.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.