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Finding the Third Proportional to 758,792 and 1,136,208

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Solution

The third proportional to 758,792 and 1,136,208 is: 1,701,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,792 : 1,136,208 = 1,136,208 : x
  2. Step 2: Convert to fraction form
    758,792/1,136,208 = 1,136,208/x
  3. Step 3: Cross multiply
    758,792x = 1,136,208 × 1,136,208
  4. Step 4: Simplify right side
    758,792x = 1,290,968,619,264
  5. Step 5: Solve for x
    x = 1,290,968,619,264/758,792
  6. Step 6: Final answer
    x = 1,701,347.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.