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Finding the Third Proportional to 767,136 and 1,200,792

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Solution

The third proportional to 767,136 and 1,200,792 is: 1,879,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,136 : 1,200,792 = 1,200,792 : x
  2. Step 2: Convert to fraction form
    767,136/1,200,792 = 1,200,792/x
  3. Step 3: Cross multiply
    767,136x = 1,200,792 × 1,200,792
  4. Step 4: Simplify right side
    767,136x = 1,441,901,427,264
  5. Step 5: Solve for x
    x = 1,441,901,427,264/767,136
  6. Step 6: Final answer
    x = 1,879,590.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.