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Finding the Third Proportional to 674,378 and 1,044,136

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Solution

The third proportional to 674,378 and 1,044,136 is: 1,616,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,378 : 1,044,136 = 1,044,136 : x
  2. Step 2: Convert to fraction form
    674,378/1,044,136 = 1,044,136/x
  3. Step 3: Cross multiply
    674,378x = 1,044,136 × 1,044,136
  4. Step 4: Simplify right side
    674,378x = 1,090,219,986,496
  5. Step 5: Solve for x
    x = 1,090,219,986,496/674,378
  6. Step 6: Final answer
    x = 1,616,630.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.